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Finding the Fourth Proportional to 113,464.76, 170,197.98 and 42,403.46

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Solution

The fourth proportional to 113,464.76, 170,197.98 and 42,403.46 is: 63,605.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,464.76 : 170,197.98 = 42,403.46 : x
  2. Step 2: Convert to fraction form
    113,464.76/170,197.98 = 42,403.46/x
  3. Step 3: Cross multiply
    113,464.76x = 170,197.98 × 42,403.46
  4. Step 4: Simplify right side
    113,464.76x = 7,216,983,237.01
  5. Step 5: Solve for x
    x = 7,216,983,237.01/113,464.76
  6. Step 6: Final answer
    x = 63,605.50

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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.