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Finding the Fourth Proportional to 211,224.19, 316,803.16 and 69,068.47

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Solution

The fourth proportional to 211,224.19, 316,803.16 and 69,068.47 is: 103,591.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,224.19 : 316,803.16 = 69,068.47 : x
  2. Step 2: Convert to fraction form
    211,224.19/316,803.16 = 69,068.47/x
  3. Step 3: Cross multiply
    211,224.19x = 316,803.16 × 69,068.47
  4. Step 4: Simplify right side
    211,224.19x = 21,881,109,552.37
  5. Step 5: Solve for x
    x = 21,881,109,552.37/211,224.19
  6. Step 6: Final answer
    x = 103,591.87

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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.