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Finding the Fourth Proportional to 119,248.98, 164,560.16 and 65,533.93

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Solution

The fourth proportional to 119,248.98, 164,560.16 and 65,533.93 is: 90,434.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,248.98 : 164,560.16 = 65,533.93 : x
  2. Step 2: Convert to fraction form
    119,248.98/164,560.16 = 65,533.93/x
  3. Step 3: Cross multiply
    119,248.98x = 164,560.16 × 65,533.93
  4. Step 4: Simplify right side
    119,248.98x = 10,784,273,800.53
  5. Step 5: Solve for x
    x = 10,784,273,800.53/119,248.98
  6. Step 6: Final answer
    x = 90,434.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.