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Finding the Fourth Proportional to 145,109.16, 200,224.98 and 88,538.76

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Solution

The fourth proportional to 145,109.16, 200,224.98 and 88,538.76 is: 122,167.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,109.16 : 200,224.98 = 88,538.76 : x
  2. Step 2: Convert to fraction form
    145,109.16/200,224.98 = 88,538.76/x
  3. Step 3: Cross multiply
    145,109.16x = 200,224.98 × 88,538.76
  4. Step 4: Simplify right side
    145,109.16x = 17,727,671,450.22
  5. Step 5: Solve for x
    x = 17,727,671,450.22/145,109.16
  6. Step 6: Final answer
    x = 122,167.83

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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.