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Finding the Fourth Proportional to 242,686.71, 364,194.06 and 84,916.53

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Solution

The fourth proportional to 242,686.71, 364,194.06 and 84,916.53 is: 127,432.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,686.71 : 364,194.06 = 84,916.53 : x
  2. Step 2: Convert to fraction form
    242,686.71/364,194.06 = 84,916.53/x
  3. Step 3: Cross multiply
    242,686.71x = 364,194.06 × 84,916.53
  4. Step 4: Simplify right side
    242,686.71x = 30,926,095,821.81
  5. Step 5: Solve for x
    x = 30,926,095,821.81/242,686.71
  6. Step 6: Final answer
    x = 127,432.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.