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Finding the Fourth Proportional to 265,089.48, 365,702.94 and 157,598.52

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Solution

The fourth proportional to 265,089.48, 365,702.94 and 157,598.52 is: 217,414.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,089.48 : 365,702.94 = 157,598.52 : x
  2. Step 2: Convert to fraction form
    265,089.48/365,702.94 = 157,598.52/x
  3. Step 3: Cross multiply
    265,089.48x = 365,702.94 × 157,598.52
  4. Step 4: Simplify right side
    265,089.48x = 57,634,242,103.65
  5. Step 5: Solve for x
    x = 57,634,242,103.65/265,089.48
  6. Step 6: Final answer
    x = 217,414.29

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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.