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Finding the Fourth Proportional to 150,411.70, 207,541.83 and 85,851.46

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Solution

The fourth proportional to 150,411.70, 207,541.83 and 85,851.46 is: 118,459.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,411.70 : 207,541.83 = 85,851.46 : x
  2. Step 2: Convert to fraction form
    150,411.70/207,541.83 = 85,851.46/x
  3. Step 3: Cross multiply
    150,411.70x = 207,541.83 × 85,851.46
  4. Step 4: Simplify right side
    150,411.70x = 17,817,768,812.35
  5. Step 5: Solve for x
    x = 17,817,768,812.35/150,411.70
  6. Step 6: Final answer
    x = 118,459.99

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1.5x scale

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.