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Finding the Fourth Proportional to 208,897.47, 288,282 and 113,404.16

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Solution

The fourth proportional to 208,897.47, 288,282 and 113,404.16 is: 156,499.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,897.47 : 288,282 = 113,404.16 : x
  2. Step 2: Convert to fraction form
    208,897.47/288,282 = 113,404.16/x
  3. Step 3: Cross multiply
    208,897.47x = 288,282 × 113,404.16
  4. Step 4: Simplify right side
    208,897.47x = 32,692,378,053.12
  5. Step 5: Solve for x
    x = 32,692,378,053.12/208,897.47
  6. Step 6: Final answer
    x = 156,499.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.