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Finding the Fourth Proportional to 153,998.40, 231,184.80 and 97,838.40

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Solution

The fourth proportional to 153,998.40, 231,184.80 and 97,838.40 is: 146,876.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,998.40 : 231,184.80 = 97,838.40 : x
  2. Step 2: Convert to fraction form
    153,998.40/231,184.80 = 97,838.40/x
  3. Step 3: Cross multiply
    153,998.40x = 231,184.80 × 97,838.40
  4. Step 4: Simplify right side
    153,998.40x = 22,618,750,936.32
  5. Step 5: Solve for x
    x = 22,618,750,936.32/153,998.40
  6. Step 6: Final answer
    x = 146,876.53

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1.5x scale

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.