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Finding the Fourth Proportional to 147,225.80, 220,838.70 and 97,362.20

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Solution

The fourth proportional to 147,225.80, 220,838.70 and 97,362.20 is: 146,043.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,225.80 : 220,838.70 = 97,362.20 : x
  2. Step 2: Convert to fraction form
    147,225.80/220,838.70 = 97,362.20/x
  3. Step 3: Cross multiply
    147,225.80x = 220,838.70 × 97,362.20
  4. Step 4: Simplify right side
    147,225.80x = 21,501,341,677.14
  5. Step 5: Solve for x
    x = 21,501,341,677.14/147,225.80
  6. Step 6: Final answer
    x = 146,043.30

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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.