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Finding the Fourth Proportional to 102,656.40, 153,984.60 and 47,252.40

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Solution

The fourth proportional to 102,656.40, 153,984.60 and 47,252.40 is: 70,878.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,656.40 : 153,984.60 = 47,252.40 : x
  2. Step 2: Convert to fraction form
    102,656.40/153,984.60 = 47,252.40/x
  3. Step 3: Cross multiply
    102,656.40x = 153,984.60 × 47,252.40
  4. Step 4: Simplify right side
    102,656.40x = 7,276,141,913.04
  5. Step 5: Solve for x
    x = 7,276,141,913.04/102,656.40
  6. Step 6: Final answer
    x = 70,878.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.