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Finding the Fourth Proportional to 145,758.90, 218,638.35 and 83,385.66

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Solution

The fourth proportional to 145,758.90, 218,638.35 and 83,385.66 is: 125,078.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,758.90 : 218,638.35 = 83,385.66 : x
  2. Step 2: Convert to fraction form
    145,758.90/218,638.35 = 83,385.66/x
  3. Step 3: Cross multiply
    145,758.90x = 218,638.35 × 83,385.66
  4. Step 4: Simplify right side
    145,758.90x = 18,231,303,116.06
  5. Step 5: Solve for x
    x = 18,231,303,116.06/145,758.90
  6. Step 6: Final answer
    x = 125,078.49

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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.