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Finding the Fourth Proportional to 186,570.93, 257,467.97 and 105,998.59

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Solution

The fourth proportional to 186,570.93, 257,467.97 and 105,998.59 is: 146,278.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,570.93 : 257,467.97 = 105,998.59 : x
  2. Step 2: Convert to fraction form
    186,570.93/257,467.97 = 105,998.59/x
  3. Step 3: Cross multiply
    186,570.93x = 257,467.97 × 105,998.59
  4. Step 4: Simplify right side
    186,570.93x = 27,291,241,790.16
  5. Step 5: Solve for x
    x = 27,291,241,790.16/186,570.93
  6. Step 6: Final answer
    x = 146,278.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.