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Finding the Fourth Proportional to 120,854.94, 181,300.86 and 61,658.34

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Solution

The fourth proportional to 120,854.94, 181,300.86 and 61,658.34 is: 92,496.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,854.94 : 181,300.86 = 61,658.34 : x
  2. Step 2: Convert to fraction form
    120,854.94/181,300.86 = 61,658.34/x
  3. Step 3: Cross multiply
    120,854.94x = 181,300.86 × 61,658.34
  4. Step 4: Simplify right side
    120,854.94x = 11,178,710,068.17
  5. Step 5: Solve for x
    x = 11,178,710,068.17/120,854.94
  6. Step 6: Final answer
    x = 92,496.92

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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.