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Finding the Fourth Proportional to 157,880.92, 217,873.10 and 86,259.40

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Solution

The fourth proportional to 157,880.92, 217,873.10 and 86,259.40 is: 119,036.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,880.92 : 217,873.10 = 86,259.40 : x
  2. Step 2: Convert to fraction form
    157,880.92/217,873.10 = 86,259.40/x
  3. Step 3: Cross multiply
    157,880.92x = 217,873.10 × 86,259.40
  4. Step 4: Simplify right side
    157,880.92x = 18,793,602,450.84
  5. Step 5: Solve for x
    x = 18,793,602,450.84/157,880.92
  6. Step 6: Final answer
    x = 119,036.57

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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.