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Finding the Fourth Proportional to 255,332.46, 383,024.07 and 97,693.50

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Solution

The fourth proportional to 255,332.46, 383,024.07 and 97,693.50 is: 146,549.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,332.46 : 383,024.07 = 97,693.50 : x
  2. Step 2: Convert to fraction form
    255,332.46/383,024.07 = 97,693.50/x
  3. Step 3: Cross multiply
    255,332.46x = 383,024.07 × 97,693.50
  4. Step 4: Simplify right side
    255,332.46x = 37,418,961,982.55
  5. Step 5: Solve for x
    x = 37,418,961,982.55/255,332.46
  6. Step 6: Final answer
    x = 146,549.96

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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.