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Finding the Fourth Proportional to 186,407.19, 257,232.74 and 105,824.14

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Solution

The fourth proportional to 186,407.19, 257,232.74 and 105,824.14 is: 146,032.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,407.19 : 257,232.74 = 105,824.14 : x
  2. Step 2: Convert to fraction form
    186,407.19/257,232.74 = 105,824.14/x
  3. Step 3: Cross multiply
    186,407.19x = 257,232.74 × 105,824.14
  4. Step 4: Simplify right side
    186,407.19x = 27,221,433,490.34
  5. Step 5: Solve for x
    x = 27,221,433,490.34/186,407.19
  6. Step 6: Final answer
    x = 146,032.10

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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.