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Finding the Fourth Proportional to 265,262.49, 397,897.86 and 147,681.18

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Solution

The fourth proportional to 265,262.49, 397,897.86 and 147,681.18 is: 221,524.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,262.49 : 397,897.86 = 147,681.18 : x
  2. Step 2: Convert to fraction form
    265,262.49/397,897.86 = 147,681.18/x
  3. Step 3: Cross multiply
    265,262.49x = 397,897.86 × 147,681.18
  4. Step 4: Simplify right side
    265,262.49x = 58,762,025,484.27
  5. Step 5: Solve for x
    x = 58,762,025,484.27/265,262.49
  6. Step 6: Final answer
    x = 221,524.07

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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.