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Finding the Fourth Proportional to 268,261.42, 370,160.54 and 147,407.80

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Solution

The fourth proportional to 268,261.42, 370,160.54 and 147,407.80 is: 203,400.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,261.42 : 370,160.54 = 147,407.80 : x
  2. Step 2: Convert to fraction form
    268,261.42/370,160.54 = 147,407.80/x
  3. Step 3: Cross multiply
    268,261.42x = 370,160.54 × 147,407.80
  4. Step 4: Simplify right side
    268,261.42x = 54,564,550,848.21
  5. Step 5: Solve for x
    x = 54,564,550,848.21/268,261.42
  6. Step 6: Final answer
    x = 203,400.66

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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.