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Finding the Fourth Proportional to 186,411.84, 257,069.52 and 125,296.32

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Solution

The fourth proportional to 186,411.84, 257,069.52 and 125,296.32 is: 172,788.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,411.84 : 257,069.52 = 125,296.32 : x
  2. Step 2: Convert to fraction form
    186,411.84/257,069.52 = 125,296.32/x
  3. Step 3: Cross multiply
    186,411.84x = 257,069.52 × 125,296.32
  4. Step 4: Simplify right side
    186,411.84x = 32,209,864,840.17
  5. Step 5: Solve for x
    x = 32,209,864,840.17/186,411.84
  6. Step 6: Final answer
    x = 172,788.73

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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.