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Finding the Fourth Proportional to 106,811.46, 147,400.77 and 59,068.02

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Solution

The fourth proportional to 106,811.46, 147,400.77 and 59,068.02 is: 81,514.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,811.46 : 147,400.77 = 59,068.02 : x
  2. Step 2: Convert to fraction form
    106,811.46/147,400.77 = 59,068.02/x
  3. Step 3: Cross multiply
    106,811.46x = 147,400.77 × 59,068.02
  4. Step 4: Simplify right side
    106,811.46x = 8,706,671,630.38
  5. Step 5: Solve for x
    x = 8,706,671,630.38/106,811.46
  6. Step 6: Final answer
    x = 81,514.40

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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.