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Finding the Fourth Proportional to 132,649.50, 198,946.35 and 42,700.25

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Solution

The fourth proportional to 132,649.50, 198,946.35 and 42,700.25 is: 64,041.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,649.50 : 198,946.35 = 42,700.25 : x
  2. Step 2: Convert to fraction form
    132,649.50/198,946.35 = 42,700.25/x
  3. Step 3: Cross multiply
    132,649.50x = 198,946.35 × 42,700.25
  4. Step 4: Simplify right side
    132,649.50x = 8,495,058,881.59
  5. Step 5: Solve for x
    x = 8,495,058,881.59/132,649.50
  6. Step 6: Final answer
    x = 64,041.39

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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.