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Finding the Fourth Proportional to 154,718.61, 232,089.80 and 65,972.58

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Solution

The fourth proportional to 154,718.61, 232,089.80 and 65,972.58 is: 98,963.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,718.61 : 232,089.80 = 65,972.58 : x
  2. Step 2: Convert to fraction form
    154,718.61/232,089.80 = 65,972.58/x
  3. Step 3: Cross multiply
    154,718.61x = 232,089.80 × 65,972.58
  4. Step 4: Simplify right side
    154,718.61x = 15,311,562,567.82
  5. Step 5: Solve for x
    x = 15,311,562,567.82/154,718.61
  6. Step 6: Final answer
    x = 98,963.94

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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.