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Finding the Fourth Proportional to 209,810.87, 289,541.13 and 114,319.16

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Solution

The fourth proportional to 209,810.87, 289,541.13 and 114,319.16 is: 157,761.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,810.87 : 289,541.13 = 114,319.16 : x
  2. Step 2: Convert to fraction form
    209,810.87/289,541.13 = 114,319.16/x
  3. Step 3: Cross multiply
    209,810.87x = 289,541.13 × 114,319.16
  4. Step 4: Simplify right side
    209,810.87x = 33,100,098,195.46
  5. Step 5: Solve for x
    x = 33,100,098,195.46/209,810.87
  6. Step 6: Final answer
    x = 157,761.60

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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.