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Finding the Fourth Proportional to 235,254.59, 352,683.49 and 102,034.51

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Solution

The fourth proportional to 235,254.59, 352,683.49 and 102,034.51 is: 152,965.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,254.59 : 352,683.49 = 102,034.51 : x
  2. Step 2: Convert to fraction form
    235,254.59/352,683.49 = 102,034.51/x
  3. Step 3: Cross multiply
    235,254.59x = 352,683.49 × 102,034.51
  4. Step 4: Simplify right side
    235,254.59x = 35,985,885,950.44
  5. Step 5: Solve for x
    x = 35,985,885,950.44/235,254.59
  6. Step 6: Final answer
    x = 152,965.72

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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.