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Finding the Fourth Proportional to 239,702.52, 359,343.16 and 97,667.23

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Solution

The fourth proportional to 239,702.52, 359,343.16 and 97,667.23 is: 146,415.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,702.52 : 359,343.16 = 97,667.23 : x
  2. Step 2: Convert to fraction form
    239,702.52/359,343.16 = 97,667.23/x
  3. Step 3: Cross multiply
    239,702.52x = 359,343.16 × 97,667.23
  4. Step 4: Simplify right side
    239,702.52x = 35,096,051,056.65
  5. Step 5: Solve for x
    x = 35,096,051,056.65/239,702.52
  6. Step 6: Final answer
    x = 146,415.03

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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.