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Finding the Fourth Proportional to 265,071.94, 365,659.86 and 157,565.50

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Solution

The fourth proportional to 265,071.94, 365,659.86 and 157,565.50 is: 217,357.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,071.94 : 365,659.86 = 157,565.50 : x
  2. Step 2: Convert to fraction form
    265,071.94/365,659.86 = 157,565.50/x
  3. Step 3: Cross multiply
    265,071.94x = 365,659.86 × 157,565.50
  4. Step 4: Simplify right side
    265,071.94x = 57,615,378,670.83
  5. Step 5: Solve for x
    x = 57,615,378,670.83/265,071.94
  6. Step 6: Final answer
    x = 217,357.52

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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.