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Finding the Fourth Proportional to 137,415.40, 205,719.90 and 102,509.80

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Solution

The fourth proportional to 137,415.40, 205,719.90 and 102,509.80 is: 153,463.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,415.40 : 205,719.90 = 102,509.80 : x
  2. Step 2: Convert to fraction form
    137,415.40/205,719.90 = 102,509.80/x
  3. Step 3: Cross multiply
    137,415.40x = 205,719.90 × 102,509.80
  4. Step 4: Simplify right side
    137,415.40x = 21,088,305,805.02
  5. Step 5: Solve for x
    x = 21,088,305,805.02/137,415.40
  6. Step 6: Final answer
    x = 153,463.92

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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.