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Finding the Fourth Proportional to 102,707.60, 154,061.40 and 102,707.60

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Solution

The fourth proportional to 102,707.60, 154,061.40 and 102,707.60 is: 154,061.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,707.60 : 154,061.40 = 102,707.60 : x
  2. Step 2: Convert to fraction form
    102,707.60/154,061.40 = 102,707.60/x
  3. Step 3: Cross multiply
    102,707.60x = 154,061.40 × 102,707.60
  4. Step 4: Simplify right side
    102,707.60x = 15,823,276,646.64
  5. Step 5: Solve for x
    x = 15,823,276,646.64/102,707.60
  6. Step 6: Final answer
    x = 154,061.40

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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.