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Finding the Fourth Proportional to 176,545.04, 264,817.48 and 51,886

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Solution

The fourth proportional to 176,545.04, 264,817.48 and 51,886 is: 77,828.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,545.04 : 264,817.48 = 51,886 : x
  2. Step 2: Convert to fraction form
    176,545.04/264,817.48 = 51,886/x
  3. Step 3: Cross multiply
    176,545.04x = 264,817.48 × 51,886
  4. Step 4: Simplify right side
    176,545.04x = 13,740,319,767.28
  5. Step 5: Solve for x
    x = 13,740,319,767.28/176,545.04
  6. Step 6: Final answer
    x = 77,828.98

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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.