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Finding the Fourth Proportional to 308,084.30, 462,126.45 and 142,196.30

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Solution

The fourth proportional to 308,084.30, 462,126.45 and 142,196.30 is: 213,294.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,084.30 : 462,126.45 = 142,196.30 : x
  2. Step 2: Convert to fraction form
    308,084.30/462,126.45 = 142,196.30/x
  3. Step 3: Cross multiply
    308,084.30x = 462,126.45 × 142,196.30
  4. Step 4: Simplify right side
    308,084.30x = 65,712,671,322.14
  5. Step 5: Solve for x
    x = 65,712,671,322.14/308,084.30
  6. Step 6: Final answer
    x = 213,294.45

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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.