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Finding the Fourth Proportional to 145,856.95, 218,822.34 and 40,675.92

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Solution

The fourth proportional to 145,856.95, 218,822.34 and 40,675.92 is: 61,024.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,856.95 : 218,822.34 = 40,675.92 : x
  2. Step 2: Convert to fraction form
    145,856.95/218,822.34 = 40,675.92/x
  3. Step 3: Cross multiply
    145,856.95x = 218,822.34 × 40,675.92
  4. Step 4: Simplify right side
    145,856.95x = 8,900,800,215.68
  5. Step 5: Solve for x
    x = 8,900,800,215.68/145,856.95
  6. Step 6: Final answer
    x = 61,024.17

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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.