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Finding the Fourth Proportional to 144,397.57, 216,645.54 and 77,844.10

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Solution

The fourth proportional to 144,397.57, 216,645.54 and 77,844.10 is: 116,792.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,397.57 : 216,645.54 = 77,844.10 : x
  2. Step 2: Convert to fraction form
    144,397.57/216,645.54 = 77,844.10/x
  3. Step 3: Cross multiply
    144,397.57x = 216,645.54 × 77,844.10
  4. Step 4: Simplify right side
    144,397.57x = 16,864,577,080.31
  5. Step 5: Solve for x
    x = 16,864,577,080.31/144,397.57
  6. Step 6: Final answer
    x = 116,792.67

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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.