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Finding the Fourth Proportional to 150,341.57, 207,465.95 and 85,814.13

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Solution

The fourth proportional to 150,341.57, 207,465.95 and 85,814.13 is: 118,420.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,341.57 : 207,465.95 = 85,814.13 : x
  2. Step 2: Convert to fraction form
    150,341.57/207,465.95 = 85,814.13/x
  3. Step 3: Cross multiply
    150,341.57x = 207,465.95 × 85,814.13
  4. Step 4: Simplify right side
    150,341.57x = 17,803,510,996.41
  5. Step 5: Solve for x
    x = 17,803,510,996.41/150,341.57
  6. Step 6: Final answer
    x = 118,420.42

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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.