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Finding the Fourth Proportional to 157,099.84, 234,582.47 and 152,843.29

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Solution

The fourth proportional to 157,099.84, 234,582.47 and 152,843.29 is: 228,226.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,099.84 : 234,582.47 = 152,843.29 : x
  2. Step 2: Convert to fraction form
    157,099.84/234,582.47 = 152,843.29/x
  3. Step 3: Cross multiply
    157,099.84x = 234,582.47 × 152,843.29
  4. Step 4: Simplify right side
    157,099.84x = 35,854,356,491.13
  5. Step 5: Solve for x
    x = 35,854,356,491.13/157,099.84
  6. Step 6: Final answer
    x = 228,226.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.