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Finding the Fourth Proportional to 102,564.60, 153,846.90 and 47,268.60

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Solution

The fourth proportional to 102,564.60, 153,846.90 and 47,268.60 is: 70,902.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,564.60 : 153,846.90 = 47,268.60 : x
  2. Step 2: Convert to fraction form
    102,564.60/153,846.90 = 47,268.60/x
  3. Step 3: Cross multiply
    102,564.60x = 153,846.90 × 47,268.60
  4. Step 4: Simplify right side
    102,564.60x = 7,272,127,577.34
  5. Step 5: Solve for x
    x = 7,272,127,577.34/102,564.60
  6. Step 6: Final answer
    x = 70,902.90

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Why These Related Problems?

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