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Finding the Fourth Proportional to 102,031.80, 153,047.70 and 68,854.20

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Solution

The fourth proportional to 102,031.80, 153,047.70 and 68,854.20 is: 103,281.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,031.80 : 153,047.70 = 68,854.20 : x
  2. Step 2: Convert to fraction form
    102,031.80/153,047.70 = 68,854.20/x
  3. Step 3: Cross multiply
    102,031.80x = 153,047.70 × 68,854.20
  4. Step 4: Simplify right side
    102,031.80x = 10,537,976,945.34
  5. Step 5: Solve for x
    x = 10,537,976,945.34/102,031.80
  6. Step 6: Final answer
    x = 103,281.30

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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.