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Finding the Fourth Proportional to 225,225.24, 310,810.95 and 140,342.64

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Solution

The fourth proportional to 225,225.24, 310,810.95 and 140,342.64 is: 193,672.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,225.24 : 310,810.95 = 140,342.64 : x
  2. Step 2: Convert to fraction form
    225,225.24/310,810.95 = 140,342.64/x
  3. Step 3: Cross multiply
    225,225.24x = 310,810.95 × 140,342.64
  4. Step 4: Simplify right side
    225,225.24x = 43,620,029,263.91
  5. Step 5: Solve for x
    x = 43,620,029,263.91/225,225.24
  6. Step 6: Final answer
    x = 193,672.92

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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.