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Finding the Fourth Proportional to 210,525.80, 316,566.30 and 176,311.40

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Solution

The fourth proportional to 210,525.80, 316,566.30 and 176,311.40 is: 265,118.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,525.80 : 316,566.30 = 176,311.40 : x
  2. Step 2: Convert to fraction form
    210,525.80/316,566.30 = 176,311.40/x
  3. Step 3: Cross multiply
    210,525.80x = 316,566.30 × 176,311.40
  4. Step 4: Simplify right side
    210,525.80x = 55,814,247,545.82
  5. Step 5: Solve for x
    x = 55,814,247,545.82/210,525.80
  6. Step 6: Final answer
    x = 265,118.33

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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.