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Finding the Fourth Proportional to 186,235.71, 257,011.08 and 105,666.63

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Solution

The fourth proportional to 186,235.71, 257,011.08 and 105,666.63 is: 145,823.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,235.71 : 257,011.08 = 105,666.63 : x
  2. Step 2: Convert to fraction form
    186,235.71/257,011.08 = 105,666.63/x
  3. Step 3: Cross multiply
    186,235.71x = 257,011.08 × 105,666.63
  4. Step 4: Simplify right side
    186,235.71x = 27,157,494,696.26
  5. Step 5: Solve for x
    x = 27,157,494,696.26/186,235.71
  6. Step 6: Final answer
    x = 145,823.24

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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.