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Finding the Fourth Proportional to 109,814, 151,543.86 and 59,513

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Solution

The fourth proportional to 109,814, 151,543.86 and 59,513 is: 82,128.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,814 : 151,543.86 = 59,513 : x
  2. Step 2: Convert to fraction form
    109,814/151,543.86 = 59,513/x
  3. Step 3: Cross multiply
    109,814x = 151,543.86 × 59,513
  4. Step 4: Simplify right side
    109,814x = 9,018,829,740.18
  5. Step 5: Solve for x
    x = 9,018,829,740.18/109,814
  6. Step 6: Final answer
    x = 82,128.23

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