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Finding the Fourth Proportional to 178,101.49, 245,780.13 and 97,534.03

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Solution

The fourth proportional to 178,101.49, 245,780.13 and 97,534.03 is: 134,597.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,101.49 : 245,780.13 = 97,534.03 : x
  2. Step 2: Convert to fraction form
    178,101.49/245,780.13 = 97,534.03/x
  3. Step 3: Cross multiply
    178,101.49x = 245,780.13 × 97,534.03
  4. Step 4: Simplify right side
    178,101.49x = 23,971,926,572.82
  5. Step 5: Solve for x
    x = 23,971,926,572.82/178,101.49
  6. Step 6: Final answer
    x = 134,597.00

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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.