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Finding the Fourth Proportional to 147,263.82, 220,903.02 and 42,098.28

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Solution

The fourth proportional to 147,263.82, 220,903.02 and 42,098.28 is: 63,149.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,263.82 : 220,903.02 = 42,098.28 : x
  2. Step 2: Convert to fraction form
    147,263.82/220,903.02 = 42,098.28/x
  3. Step 3: Cross multiply
    147,263.82x = 220,903.02 × 42,098.28
  4. Step 4: Simplify right side
    147,263.82x = 9,299,637,188.81
  5. Step 5: Solve for x
    x = 9,299,637,188.81/147,263.82
  6. Step 6: Final answer
    x = 63,149.50

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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.