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Finding the Fourth Proportional to 231,902.76, 319,968.18 and 146,988.84

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Solution

The fourth proportional to 231,902.76, 319,968.18 and 146,988.84 is: 202,808.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,902.76 : 319,968.18 = 146,988.84 : x
  2. Step 2: Convert to fraction form
    231,902.76/319,968.18 = 146,988.84/x
  3. Step 3: Cross multiply
    231,902.76x = 319,968.18 × 146,988.84
  4. Step 4: Simplify right side
    231,902.76x = 47,031,751,615.11
  5. Step 5: Solve for x
    x = 47,031,751,615.11/231,902.76
  6. Step 6: Final answer
    x = 202,808.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.