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Finding the Fourth Proportional to 163,085.31, 224,962.16 and 102,559.95

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Solution

The fourth proportional to 163,085.31, 224,962.16 and 102,559.95 is: 141,472.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,085.31 : 224,962.16 = 102,559.95 : x
  2. Step 2: Convert to fraction form
    163,085.31/224,962.16 = 102,559.95/x
  3. Step 3: Cross multiply
    163,085.31x = 224,962.16 × 102,559.95
  4. Step 4: Simplify right side
    163,085.31x = 23,072,107,368.69
  5. Step 5: Solve for x
    x = 23,072,107,368.69/163,085.31
  6. Step 6: Final answer
    x = 141,472.63

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Why These Related Problems?

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