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Finding the Fourth Proportional to 98,800.16, 147,946.50 and 54,377.33

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Solution

The fourth proportional to 98,800.16, 147,946.50 and 54,377.33 is: 81,426.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,800.16 : 147,946.50 = 54,377.33 : x
  2. Step 2: Convert to fraction form
    98,800.16/147,946.50 = 54,377.33/x
  3. Step 3: Cross multiply
    98,800.16x = 147,946.50 × 54,377.33
  4. Step 4: Simplify right side
    98,800.16x = 8,044,934,913.11
  5. Step 5: Solve for x
    x = 8,044,934,913.11/98,800.16
  6. Step 6: Final answer
    x = 81,426.34

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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.