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Finding the Fourth Proportional to 207,842.10, 311,854.95 and 101,166.90

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Solution

The fourth proportional to 207,842.10, 311,854.95 and 101,166.90 is: 151,795.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,842.10 : 311,854.95 = 101,166.90 : x
  2. Step 2: Convert to fraction form
    207,842.10/311,854.95 = 101,166.90/x
  3. Step 3: Cross multiply
    207,842.10x = 311,854.95 × 101,166.90
  4. Step 4: Simplify right side
    207,842.10x = 31,549,398,541.16
  5. Step 5: Solve for x
    x = 31,549,398,541.16/207,842.10
  6. Step 6: Final answer
    x = 151,795.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.