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Finding the Fourth Proportional to 122,536.40, 183,497.40 and 97,960.40

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Solution

The fourth proportional to 122,536.40, 183,497.40 and 97,960.40 is: 146,695.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,536.40 : 183,497.40 = 97,960.40 : x
  2. Step 2: Convert to fraction form
    122,536.40/183,497.40 = 97,960.40/x
  3. Step 3: Cross multiply
    122,536.40x = 183,497.40 × 97,960.40
  4. Step 4: Simplify right side
    122,536.40x = 17,975,478,702.96
  5. Step 5: Solve for x
    x = 17,975,478,702.96/122,536.40
  6. Step 6: Final answer
    x = 146,695.01

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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.