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Finding the Fourth Proportional to 211,776.24, 292,211.10 and 143,847.48

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Solution

The fourth proportional to 211,776.24, 292,211.10 and 143,847.48 is: 198,482.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,776.24 : 292,211.10 = 143,847.48 : x
  2. Step 2: Convert to fraction form
    211,776.24/292,211.10 = 143,847.48/x
  3. Step 3: Cross multiply
    211,776.24x = 292,211.10 × 143,847.48
  4. Step 4: Simplify right side
    211,776.24x = 42,033,830,363.03
  5. Step 5: Solve for x
    x = 42,033,830,363.03/211,776.24
  6. Step 6: Final answer
    x = 198,482.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.