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Finding the Fourth Proportional to 153,953.30, 230,897.55 and 65,209.70

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Solution

The fourth proportional to 153,953.30, 230,897.55 and 65,209.70 is: 97,800.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,953.30 : 230,897.55 = 65,209.70 : x
  2. Step 2: Convert to fraction form
    153,953.30/230,897.55 = 65,209.70/x
  3. Step 3: Cross multiply
    153,953.30x = 230,897.55 × 65,209.70
  4. Step 4: Simplify right side
    153,953.30x = 15,056,759,966.24
  5. Step 5: Solve for x
    x = 15,056,759,966.24/153,953.30
  6. Step 6: Final answer
    x = 97,800.83

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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.