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Finding the Fourth Proportional to 210,695.65, 316,035.08 and 116,113.37

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Solution

The fourth proportional to 210,695.65, 316,035.08 and 116,113.37 is: 174,165.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,695.65 : 316,035.08 = 116,113.37 : x
  2. Step 2: Convert to fraction form
    210,695.65/316,035.08 = 116,113.37/x
  3. Step 3: Cross multiply
    210,695.65x = 316,035.08 × 116,113.37
  4. Step 4: Simplify right side
    210,695.65x = 36,695,896,451.70
  5. Step 5: Solve for x
    x = 36,695,896,451.70/210,695.65
  6. Step 6: Final answer
    x = 174,165.42

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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.