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Finding the Fourth Proportional to 147,411, 221,151.06 and 48,915

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Solution

The fourth proportional to 147,411, 221,151.06 and 48,915 is: 73,383.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,411 : 221,151.06 = 48,915 : x
  2. Step 2: Convert to fraction form
    147,411/221,151.06 = 48,915/x
  3. Step 3: Cross multiply
    147,411x = 221,151.06 × 48,915
  4. Step 4: Simplify right side
    147,411x = 10,817,604,099.90
  5. Step 5: Solve for x
    x = 10,817,604,099.90/147,411
  6. Step 6: Final answer
    x = 73,383.97

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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.