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Finding the Fourth Proportional to 153,971.40, 230,957.10 and 144,640.20

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Solution

The fourth proportional to 153,971.40, 230,957.10 and 144,640.20 is: 216,960.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,971.40 : 230,957.10 = 144,640.20 : x
  2. Step 2: Convert to fraction form
    153,971.40/230,957.10 = 144,640.20/x
  3. Step 3: Cross multiply
    153,971.40x = 230,957.10 × 144,640.20
  4. Step 4: Simplify right side
    153,971.40x = 33,405,681,135.42
  5. Step 5: Solve for x
    x = 33,405,681,135.42/153,971.40
  6. Step 6: Final answer
    x = 216,960.30

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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.