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Finding the Fourth Proportional to 145,970.40, 218,955.60 and 82,766.10

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Solution

The fourth proportional to 145,970.40, 218,955.60 and 82,766.10 is: 124,149.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,970.40 : 218,955.60 = 82,766.10 : x
  2. Step 2: Convert to fraction form
    145,970.40/218,955.60 = 82,766.10/x
  3. Step 3: Cross multiply
    145,970.40x = 218,955.60 × 82,766.10
  4. Step 4: Simplify right side
    145,970.40x = 18,122,101,085.16
  5. Step 5: Solve for x
    x = 18,122,101,085.16/145,970.40
  6. Step 6: Final answer
    x = 124,149.15

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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.