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Finding the Fourth Proportional to 213,068.16, 319,519.18 and 79,875.76

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Solution

The fourth proportional to 213,068.16, 319,519.18 and 79,875.76 is: 119,782.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,068.16 : 319,519.18 = 79,875.76 : x
  2. Step 2: Convert to fraction form
    213,068.16/319,519.18 = 79,875.76/x
  3. Step 3: Cross multiply
    213,068.16x = 319,519.18 × 79,875.76
  4. Step 4: Simplify right side
    213,068.16x = 25,521,837,337.08
  5. Step 5: Solve for x
    x = 25,521,837,337.08/213,068.16
  6. Step 6: Final answer
    x = 119,782.50

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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.