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Finding the Fourth Proportional to 161,743.40, 242,615.10 and 146,191.40

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Solution

The fourth proportional to 161,743.40, 242,615.10 and 146,191.40 is: 219,287.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,743.40 : 242,615.10 = 146,191.40 : x
  2. Step 2: Convert to fraction form
    161,743.40/242,615.10 = 146,191.40/x
  3. Step 3: Cross multiply
    161,743.40x = 242,615.10 × 146,191.40
  4. Step 4: Simplify right side
    161,743.40x = 35,468,241,130.14
  5. Step 5: Solve for x
    x = 35,468,241,130.14/161,743.40
  6. Step 6: Final answer
    x = 219,287.10

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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.