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Finding the Fourth Proportional to 235,253.09, 352,681.26 and 102,033

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Solution

The fourth proportional to 235,253.09, 352,681.26 and 102,033 is: 152,963.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,253.09 : 352,681.26 = 102,033 : x
  2. Step 2: Convert to fraction form
    235,253.09/352,681.26 = 102,033/x
  3. Step 3: Cross multiply
    235,253.09x = 352,681.26 × 102,033
  4. Step 4: Simplify right side
    235,253.09x = 35,985,127,001.58
  5. Step 5: Solve for x
    x = 35,985,127,001.58/235,253.09
  6. Step 6: Final answer
    x = 152,963.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.