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Finding the Fourth Proportional to 136,794.62, 205,264.16 and 97,070.30

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Solution

The fourth proportional to 136,794.62, 205,264.16 and 97,070.30 is: 145,656.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,794.62 : 205,264.16 = 97,070.30 : x
  2. Step 2: Convert to fraction form
    136,794.62/205,264.16 = 97,070.30/x
  3. Step 3: Cross multiply
    136,794.62x = 205,264.16 × 97,070.30
  4. Step 4: Simplify right side
    136,794.62x = 19,925,053,590.45
  5. Step 5: Solve for x
    x = 19,925,053,590.45/136,794.62
  6. Step 6: Final answer
    x = 145,656.70

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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.