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Finding the Fourth Proportional to 154,461.60, 231,692.40 and 123,357.60

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Solution

The fourth proportional to 154,461.60, 231,692.40 and 123,357.60 is: 185,036.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,461.60 : 231,692.40 = 123,357.60 : x
  2. Step 2: Convert to fraction form
    154,461.60/231,692.40 = 123,357.60/x
  3. Step 3: Cross multiply
    154,461.60x = 231,692.40 × 123,357.60
  4. Step 4: Simplify right side
    154,461.60x = 28,581,018,402.24
  5. Step 5: Solve for x
    x = 28,581,018,402.24/154,461.60
  6. Step 6: Final answer
    x = 185,036.40

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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.