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Finding the Fourth Proportional to 154,226.08, 212,854.80 and 97,642.72

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Solution

The fourth proportional to 154,226.08, 212,854.80 and 97,642.72 is: 134,761.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,226.08 : 212,854.80 = 97,642.72 : x
  2. Step 2: Convert to fraction form
    154,226.08/212,854.80 = 97,642.72/x
  3. Step 3: Cross multiply
    154,226.08x = 212,854.80 × 97,642.72
  4. Step 4: Simplify right side
    154,226.08x = 20,783,721,637.06
  5. Step 5: Solve for x
    x = 20,783,721,637.06/154,226.08
  6. Step 6: Final answer
    x = 134,761.39

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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.