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Finding the Fourth Proportional to 144,489.60, 216,442.80 and 100,166.40

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Solution

The fourth proportional to 144,489.60, 216,442.80 and 100,166.40 is: 150,047.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,489.60 : 216,442.80 = 100,166.40 : x
  2. Step 2: Convert to fraction form
    144,489.60/216,442.80 = 100,166.40/x
  3. Step 3: Cross multiply
    144,489.60x = 216,442.80 × 100,166.40
  4. Step 4: Simplify right side
    144,489.60x = 21,680,296,081.92
  5. Step 5: Solve for x
    x = 21,680,296,081.92/144,489.60
  6. Step 6: Final answer
    x = 150,047.45

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1.5x scale

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.