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Finding the Fourth Proportional to 340,135.32, 510,276.69 and 103,471.77

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Solution

The fourth proportional to 340,135.32, 510,276.69 and 103,471.77 is: 155,230.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,135.32 : 510,276.69 = 103,471.77 : x
  2. Step 2: Convert to fraction form
    340,135.32/510,276.69 = 103,471.77/x
  3. Step 3: Cross multiply
    340,135.32x = 510,276.69 × 103,471.77
  4. Step 4: Simplify right side
    340,135.32x = 52,799,232,304.04
  5. Step 5: Solve for x
    x = 52,799,232,304.04/340,135.32
  6. Step 6: Final answer
    x = 155,230.08

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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.