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Finding the Fourth Proportional to 150,820.68, 208,203.40 and 87,146.16

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Solution

The fourth proportional to 150,820.68, 208,203.40 and 87,146.16 is: 120,302.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,820.68 : 208,203.40 = 87,146.16 : x
  2. Step 2: Convert to fraction form
    150,820.68/208,203.40 = 87,146.16/x
  3. Step 3: Cross multiply
    150,820.68x = 208,203.40 × 87,146.16
  4. Step 4: Simplify right side
    150,820.68x = 18,144,126,808.94
  5. Step 5: Solve for x
    x = 18,144,126,808.94/150,820.68
  6. Step 6: Final answer
    x = 120,302.65

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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.