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Finding the Fourth Proportional to 235,253.50, 352,681.88 and 102,033.45

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Solution

The fourth proportional to 235,253.50, 352,681.88 and 102,033.45 is: 152,964.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,253.50 : 352,681.88 = 102,033.45 : x
  2. Step 2: Convert to fraction form
    235,253.50/352,681.88 = 102,033.45/x
  3. Step 3: Cross multiply
    235,253.50x = 352,681.88 × 102,033.45
  4. Step 4: Simplify right side
    235,253.50x = 35,985,348,458.72
  5. Step 5: Solve for x
    x = 35,985,348,458.72/235,253.50
  6. Step 6: Final answer
    x = 152,964.14

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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.