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Finding the Fourth Proportional to 119,434.46, 164,826.54 and 68,462.98

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Solution

The fourth proportional to 119,434.46, 164,826.54 and 68,462.98 is: 94,482.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,434.46 : 164,826.54 = 68,462.98 : x
  2. Step 2: Convert to fraction form
    119,434.46/164,826.54 = 68,462.98/x
  3. Step 3: Cross multiply
    119,434.46x = 164,826.54 × 68,462.98
  4. Step 4: Simplify right side
    119,434.46x = 11,284,516,111.49
  5. Step 5: Solve for x
    x = 11,284,516,111.49/119,434.46
  6. Step 6: Final answer
    x = 94,482.92

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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.