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Finding the Fourth Proportional to 186,463.36, 257,322.24 and 101,580.40

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Solution

The fourth proportional to 186,463.36, 257,322.24 and 101,580.40 is: 140,182.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,463.36 : 257,322.24 = 101,580.40 : x
  2. Step 2: Convert to fraction form
    186,463.36/257,322.24 = 101,580.40/x
  3. Step 3: Cross multiply
    186,463.36x = 257,322.24 × 101,580.40
  4. Step 4: Simplify right side
    186,463.36x = 26,138,896,068.10
  5. Step 5: Solve for x
    x = 26,138,896,068.10/186,463.36
  6. Step 6: Final answer
    x = 140,182.48

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