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Finding the Fourth Proportional to 213,070.93, 319,595.34 and 63,312.46

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Solution

The fourth proportional to 213,070.93, 319,595.34 and 63,312.46 is: 94,965.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,070.93 : 319,595.34 = 63,312.46 : x
  2. Step 2: Convert to fraction form
    213,070.93/319,595.34 = 63,312.46/x
  3. Step 3: Cross multiply
    213,070.93x = 319,595.34 × 63,312.46
  4. Step 4: Simplify right side
    213,070.93x = 20,234,367,179.94
  5. Step 5: Solve for x
    x = 20,234,367,179.94/213,070.93
  6. Step 6: Final answer
    x = 94,965.41

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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.