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Finding the Fourth Proportional to 144,798.78, 199,822.05 and 88,210.16

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Solution

The fourth proportional to 144,798.78, 199,822.05 and 88,210.16 is: 121,729.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,798.78 : 199,822.05 = 88,210.16 : x
  2. Step 2: Convert to fraction form
    144,798.78/199,822.05 = 88,210.16/x
  3. Step 3: Cross multiply
    144,798.78x = 199,822.05 × 88,210.16
  4. Step 4: Simplify right side
    144,798.78x = 17,626,334,002.92
  5. Step 5: Solve for x
    x = 17,626,334,002.92/144,798.78
  6. Step 6: Final answer
    x = 121,729.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.