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Finding the Fourth Proportional to 265,261.62, 366,019.92 and 152,062.50

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Solution

The fourth proportional to 265,261.62, 366,019.92 and 152,062.50 is: 209,822.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,261.62 : 366,019.92 = 152,062.50 : x
  2. Step 2: Convert to fraction form
    265,261.62/366,019.92 = 152,062.50/x
  3. Step 3: Cross multiply
    265,261.62x = 366,019.92 × 152,062.50
  4. Step 4: Simplify right side
    265,261.62x = 55,657,904,085
  5. Step 5: Solve for x
    x = 55,657,904,085/265,261.62
  6. Step 6: Final answer
    x = 209,822.68

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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.