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Finding the Fourth Proportional to 144,267, 216,397.62 and 65,366.52

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Solution

The fourth proportional to 144,267, 216,397.62 and 65,366.52 is: 98,048.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,267 : 216,397.62 = 65,366.52 : x
  2. Step 2: Convert to fraction form
    144,267/216,397.62 = 65,366.52/x
  3. Step 3: Cross multiply
    144,267x = 216,397.62 × 65,366.52
  4. Step 4: Simplify right side
    144,267x = 14,145,159,355.68
  5. Step 5: Solve for x
    x = 14,145,159,355.68/144,267
  6. Step 6: Final answer
    x = 98,048.48

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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.