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Finding the Fourth Proportional to 138,045.80, 207,287.40 and 100,866.80

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Solution

The fourth proportional to 138,045.80, 207,287.40 and 100,866.80 is: 151,460.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,045.80 : 207,287.40 = 100,866.80 : x
  2. Step 2: Convert to fraction form
    138,045.80/207,287.40 = 100,866.80/x
  3. Step 3: Cross multiply
    138,045.80x = 207,287.40 × 100,866.80
  4. Step 4: Simplify right side
    138,045.80x = 20,908,416,718.32
  5. Step 5: Solve for x
    x = 20,908,416,718.32/138,045.80
  6. Step 6: Final answer
    x = 151,460.00

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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.