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Finding the Fourth Proportional to 235,113, 352,323.81 and 138,951.24

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Solution

The fourth proportional to 235,113, 352,323.81 and 138,951.24 is: 208,222.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,113 : 352,323.81 = 138,951.24 : x
  2. Step 2: Convert to fraction form
    235,113/352,323.81 = 138,951.24/x
  3. Step 3: Cross multiply
    235,113x = 352,323.81 × 138,951.24
  4. Step 4: Simplify right side
    235,113x = 48,955,830,281.02
  5. Step 5: Solve for x
    x = 48,955,830,281.02/235,113
  6. Step 6: Final answer
    x = 208,222.56

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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.