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Finding the Fourth Proportional to 152,164.47, 209,968.74 and 87,654.72

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Solution

The fourth proportional to 152,164.47, 209,968.74 and 87,654.72 is: 120,953.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,164.47 : 209,968.74 = 87,654.72 : x
  2. Step 2: Convert to fraction form
    152,164.47/209,968.74 = 87,654.72/x
  3. Step 3: Cross multiply
    152,164.47x = 209,968.74 × 87,654.72
  4. Step 4: Simplify right side
    152,164.47x = 18,404,751,113.45
  5. Step 5: Solve for x
    x = 18,404,751,113.45/152,164.47
  6. Step 6: Final answer
    x = 120,953.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.