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Finding the Fourth Proportional to 155,693.68, 214,952.52 and 101,297.52

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Solution

The fourth proportional to 155,693.68, 214,952.52 and 101,297.52 is: 139,852.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,693.68 : 214,952.52 = 101,297.52 : x
  2. Step 2: Convert to fraction form
    155,693.68/214,952.52 = 101,297.52/x
  3. Step 3: Cross multiply
    155,693.68x = 214,952.52 × 101,297.52
  4. Step 4: Simplify right side
    155,693.68x = 21,774,157,193.75
  5. Step 5: Solve for x
    x = 21,774,157,193.75/155,693.68
  6. Step 6: Final answer
    x = 139,852.54

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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.