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Finding the Fourth Proportional to 153,597, 211,963.86 and 86,529

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Solution

The fourth proportional to 153,597, 211,963.86 and 86,529 is: 119,410.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,597 : 211,963.86 = 86,529 : x
  2. Step 2: Convert to fraction form
    153,597/211,963.86 = 86,529/x
  3. Step 3: Cross multiply
    153,597x = 211,963.86 × 86,529
  4. Step 4: Simplify right side
    153,597x = 18,341,020,841.94
  5. Step 5: Solve for x
    x = 18,341,020,841.94/153,597
  6. Step 6: Final answer
    x = 119,410.02

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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.