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Finding the Fourth Proportional to 154,704.74, 232,019.51 and 64,698.75

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Solution

The fourth proportional to 154,704.74, 232,019.51 and 64,698.75 is: 97,032.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,704.74 : 232,019.51 = 64,698.75 : x
  2. Step 2: Convert to fraction form
    154,704.74/232,019.51 = 64,698.75/x
  3. Step 3: Cross multiply
    154,704.74x = 232,019.51 × 64,698.75
  4. Step 4: Simplify right side
    154,704.74x = 15,011,371,949.12
  5. Step 5: Solve for x
    x = 15,011,371,949.12/154,704.74
  6. Step 6: Final answer
    x = 97,032.40

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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.