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Finding the Fourth Proportional to 233,140.10, 349,710.15 and 152,960.90

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Solution

The fourth proportional to 233,140.10, 349,710.15 and 152,960.90 is: 229,441.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,140.10 : 349,710.15 = 152,960.90 : x
  2. Step 2: Convert to fraction form
    233,140.10/349,710.15 = 152,960.90/x
  3. Step 3: Cross multiply
    233,140.10x = 349,710.15 × 152,960.90
  4. Step 4: Simplify right side
    233,140.10x = 53,491,979,283.14
  5. Step 5: Solve for x
    x = 53,491,979,283.14/233,140.10
  6. Step 6: Final answer
    x = 229,441.35

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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.