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Finding the Fourth Proportional to 153,492.81, 230,227.98 and 48,341.85

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Solution

The fourth proportional to 153,492.81, 230,227.98 and 48,341.85 is: 72,509.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,492.81 : 230,227.98 = 48,341.85 : x
  2. Step 2: Convert to fraction form
    153,492.81/230,227.98 = 48,341.85/x
  3. Step 3: Cross multiply
    153,492.81x = 230,227.98 × 48,341.85
  4. Step 4: Simplify right side
    153,492.81x = 11,129,646,474.96
  5. Step 5: Solve for x
    x = 11,129,646,474.96/153,492.81
  6. Step 6: Final answer
    x = 72,509.24

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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.