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Finding the Fourth Proportional to 186,771, 257,743.98 and 101,888.40

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Solution

The fourth proportional to 186,771, 257,743.98 and 101,888.40 is: 140,605.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,771 : 257,743.98 = 101,888.40 : x
  2. Step 2: Convert to fraction form
    186,771/257,743.98 = 101,888.40/x
  3. Step 3: Cross multiply
    186,771x = 257,743.98 × 101,888.40
  4. Step 4: Simplify right side
    186,771x = 26,261,121,731.83
  5. Step 5: Solve for x
    x = 26,261,121,731.83/186,771
  6. Step 6: Final answer
    x = 140,605.99

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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.