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Finding the Fourth Proportional to 144,894.40, 217,341.60 and 39,713.20

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Solution

The fourth proportional to 144,894.40, 217,341.60 and 39,713.20 is: 59,569.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,894.40 : 217,341.60 = 39,713.20 : x
  2. Step 2: Convert to fraction form
    144,894.40/217,341.60 = 39,713.20/x
  3. Step 3: Cross multiply
    144,894.40x = 217,341.60 × 39,713.20
  4. Step 4: Simplify right side
    144,894.40x = 8,631,330,429.12
  5. Step 5: Solve for x
    x = 8,631,330,429.12/144,894.40
  6. Step 6: Final answer
    x = 59,569.80

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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.