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Finding the Fourth Proportional to 153,311.84, 211,557.84 and 85,323.68

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Solution

The fourth proportional to 153,311.84, 211,557.84 and 85,323.68 is: 117,739.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,311.84 : 211,557.84 = 85,323.68 : x
  2. Step 2: Convert to fraction form
    153,311.84/211,557.84 = 85,323.68/x
  3. Step 3: Cross multiply
    153,311.84x = 211,557.84 × 85,323.68
  4. Step 4: Simplify right side
    153,311.84x = 18,050,893,441.65
  5. Step 5: Solve for x
    x = 18,050,893,441.65/153,311.84
  6. Step 6: Final answer
    x = 117,739.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.