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Finding the Fourth Proportional to 109,873.69, 164,678.67 and 56,590.72

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Solution

The fourth proportional to 109,873.69, 164,678.67 and 56,590.72 is: 84,818.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,873.69 : 164,678.67 = 56,590.72 : x
  2. Step 2: Convert to fraction form
    109,873.69/164,678.67 = 56,590.72/x
  3. Step 3: Cross multiply
    109,873.69x = 164,678.67 × 56,590.72
  4. Step 4: Simplify right side
    109,873.69x = 9,319,284,503.94
  5. Step 5: Solve for x
    x = 9,319,284,503.94/109,873.69
  6. Step 6: Final answer
    x = 84,818.16

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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.