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Finding the Fourth Proportional to 153,776.30, 230,642.85 and 48,605.90

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Solution

The fourth proportional to 153,776.30, 230,642.85 and 48,605.90 is: 72,902.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,776.30 : 230,642.85 = 48,605.90 : x
  2. Step 2: Convert to fraction form
    153,776.30/230,642.85 = 48,605.90/x
  3. Step 3: Cross multiply
    153,776.30x = 230,642.85 × 48,605.90
  4. Step 4: Simplify right side
    153,776.30x = 11,210,603,302.82
  5. Step 5: Solve for x
    x = 11,210,603,302.82/153,776.30
  6. Step 6: Final answer
    x = 72,902.02

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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.