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Finding the Fourth Proportional to 102,594.74, 153,946.27 and 72,801.47

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Solution

The fourth proportional to 102,594.74, 153,946.27 and 72,801.47 is: 109,240.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,594.74 : 153,946.27 = 72,801.47 : x
  2. Step 2: Convert to fraction form
    102,594.74/153,946.27 = 72,801.47/x
  3. Step 3: Cross multiply
    102,594.74x = 153,946.27 × 72,801.47
  4. Step 4: Simplify right side
    102,594.74x = 11,207,513,805.28
  5. Step 5: Solve for x
    x = 11,207,513,805.28/102,594.74
  6. Step 6: Final answer
    x = 109,240.63

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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.