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Finding the Fourth Proportional to 106,883.48, 160,325.04 and 42,870.48

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Solution

The fourth proportional to 106,883.48, 160,325.04 and 42,870.48 is: 64,305.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,883.48 : 160,325.04 = 42,870.48 : x
  2. Step 2: Convert to fraction form
    106,883.48/160,325.04 = 42,870.48/x
  3. Step 3: Cross multiply
    106,883.48x = 160,325.04 × 42,870.48
  4. Step 4: Simplify right side
    106,883.48x = 6,873,211,420.82
  5. Step 5: Solve for x
    x = 6,873,211,420.82/106,883.48
  6. Step 6: Final answer
    x = 64,305.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.