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Finding the Fourth Proportional to 242,031.40, 363,058.98 and 64,540

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Solution

The fourth proportional to 242,031.40, 363,058.98 and 64,540 is: 96,813.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,031.40 : 363,058.98 = 64,540 : x
  2. Step 2: Convert to fraction form
    242,031.40/363,058.98 = 64,540/x
  3. Step 3: Cross multiply
    242,031.40x = 363,058.98 × 64,540
  4. Step 4: Simplify right side
    242,031.40x = 23,431,826,569.20
  5. Step 5: Solve for x
    x = 23,431,826,569.20/242,031.40
  6. Step 6: Final answer
    x = 96,813.17

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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.