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Finding the Fourth Proportional to 147,762.70, 221,332.05 and 97,866.70

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Solution

The fourth proportional to 147,762.70, 221,332.05 and 97,866.70 is: 146,593.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,762.70 : 221,332.05 = 97,866.70 : x
  2. Step 2: Convert to fraction form
    147,762.70/221,332.05 = 97,866.70/x
  3. Step 3: Cross multiply
    147,762.70x = 221,332.05 × 97,866.70
  4. Step 4: Simplify right side
    147,762.70x = 21,661,037,337.74
  5. Step 5: Solve for x
    x = 21,661,037,337.74/147,762.70
  6. Step 6: Final answer
    x = 146,593.41

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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.