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Finding the Fourth Proportional to 265,876.64, 366,931.50 and 151,191.20

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Solution

The fourth proportional to 265,876.64, 366,931.50 and 151,191.20 is: 208,656.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,876.64 : 366,931.50 = 151,191.20 : x
  2. Step 2: Convert to fraction form
    265,876.64/366,931.50 = 151,191.20/x
  3. Step 3: Cross multiply
    265,876.64x = 366,931.50 × 151,191.20
  4. Step 4: Simplify right side
    265,876.64x = 55,476,813,802.80
  5. Step 5: Solve for x
    x = 55,476,813,802.80/265,876.64
  6. Step 6: Final answer
    x = 208,656.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.