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Finding the Fourth Proportional to 186,541.29, 257,419.47 and 101,656.53

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Solution

The fourth proportional to 186,541.29, 257,419.47 and 101,656.53 is: 140,281.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,541.29 : 257,419.47 = 101,656.53 : x
  2. Step 2: Convert to fraction form
    186,541.29/257,419.47 = 101,656.53/x
  3. Step 3: Cross multiply
    186,541.29x = 257,419.47 × 101,656.53
  4. Step 4: Simplify right side
    186,541.29x = 26,168,370,074.64
  5. Step 5: Solve for x
    x = 26,168,370,074.64/186,541.29
  6. Step 6: Final answer
    x = 140,281.92

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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.