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Finding the Fourth Proportional to 144,564.80, 216,847.20 and 102,574.40

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Solution

The fourth proportional to 144,564.80, 216,847.20 and 102,574.40 is: 153,861.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,564.80 : 216,847.20 = 102,574.40 : x
  2. Step 2: Convert to fraction form
    144,564.80/216,847.20 = 102,574.40/x
  3. Step 3: Cross multiply
    144,564.80x = 216,847.20 × 102,574.40
  4. Step 4: Simplify right side
    144,564.80x = 22,242,971,431.68
  5. Step 5: Solve for x
    x = 22,242,971,431.68/144,564.80
  6. Step 6: Final answer
    x = 153,861.60

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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.