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Finding the Fourth Proportional to 211,180.79, 316,738.13 and 69,024.98

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Solution

The fourth proportional to 211,180.79, 316,738.13 and 69,024.98 is: 103,526.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,180.79 : 316,738.13 = 69,024.98 : x
  2. Step 2: Convert to fraction form
    211,180.79/316,738.13 = 69,024.98/x
  3. Step 3: Cross multiply
    211,180.79x = 316,738.13 × 69,024.98
  4. Step 4: Simplify right side
    211,180.79x = 21,862,841,677.36
  5. Step 5: Solve for x
    x = 21,862,841,677.36/211,180.79
  6. Step 6: Final answer
    x = 103,526.66

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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.