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Finding the Fourth Proportional to 178,041.61, 245,697.40 and 97,468.89

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Solution

The fourth proportional to 178,041.61, 245,697.40 and 97,468.89 is: 134,507.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,041.61 : 245,697.40 = 97,468.89 : x
  2. Step 2: Convert to fraction form
    178,041.61/245,697.40 = 97,468.89/x
  3. Step 3: Cross multiply
    178,041.61x = 245,697.40 × 97,468.89
  4. Step 4: Simplify right side
    178,041.61x = 23,947,852,853.89
  5. Step 5: Solve for x
    x = 23,947,852,853.89/178,041.61
  6. Step 6: Final answer
    x = 134,507.06

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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.