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Finding the Fourth Proportional to 158,575, 218,840.14 and 86,957.78

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Solution

The fourth proportional to 158,575, 218,840.14 and 86,957.78 is: 120,005.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,575 : 218,840.14 = 86,957.78 : x
  2. Step 2: Convert to fraction form
    158,575/218,840.14 = 86,957.78/x
  3. Step 3: Cross multiply
    158,575x = 218,840.14 × 86,957.78
  4. Step 4: Simplify right side
    158,575x = 19,029,852,749.29
  5. Step 5: Solve for x
    x = 19,029,852,749.29/158,575
  6. Step 6: Final answer
    x = 120,005.38

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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.