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Finding the Fourth Proportional to 178,036.29, 245,692.97 and 97,462.45

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Solution

The fourth proportional to 178,036.29, 245,692.97 and 97,462.45 is: 134,499.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,036.29 : 245,692.97 = 97,462.45 : x
  2. Step 2: Convert to fraction form
    178,036.29/245,692.97 = 97,462.45/x
  3. Step 3: Cross multiply
    178,036.29x = 245,692.97 × 97,462.45
  4. Step 4: Simplify right side
    178,036.29x = 23,945,838,803.98
  5. Step 5: Solve for x
    x = 23,945,838,803.98/178,036.29
  6. Step 6: Final answer
    x = 134,499.76

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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.