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Finding the Fourth Proportional to 178,148.42, 245,848.80 and 101,665.98

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Solution

The fourth proportional to 178,148.42, 245,848.80 and 101,665.98 is: 140,301.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,148.42 : 245,848.80 = 101,665.98 : x
  2. Step 2: Convert to fraction form
    178,148.42/245,848.80 = 101,665.98/x
  3. Step 3: Cross multiply
    178,148.42x = 245,848.80 × 101,665.98
  4. Step 4: Simplify right side
    178,148.42x = 24,994,459,183.82
  5. Step 5: Solve for x
    x = 24,994,459,183.82/178,148.42
  6. Step 6: Final answer
    x = 140,301.32

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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.