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Finding the Fourth Proportional to 145,264.64, 200,443.38 and 81,590.24

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Solution

The fourth proportional to 145,264.64, 200,443.38 and 81,590.24 is: 112,582.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,264.64 : 200,443.38 = 81,590.24 : x
  2. Step 2: Convert to fraction form
    145,264.64/200,443.38 = 81,590.24/x
  3. Step 3: Cross multiply
    145,264.64x = 200,443.38 × 81,590.24
  4. Step 4: Simplify right side
    145,264.64x = 16,354,223,480.61
  5. Step 5: Solve for x
    x = 16,354,223,480.61/145,264.64
  6. Step 6: Final answer
    x = 112,582.27

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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.