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Finding the Fourth Proportional to 213,065.16, 319,569.36 and 63,302.64

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Solution

The fourth proportional to 213,065.16, 319,569.36 and 63,302.64 is: 94,945.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,065.16 : 319,569.36 = 63,302.64 : x
  2. Step 2: Convert to fraction form
    213,065.16/319,569.36 = 63,302.64/x
  3. Step 3: Cross multiply
    213,065.16x = 319,569.36 × 63,302.64
  4. Step 4: Simplify right side
    213,065.16x = 20,229,584,151.11
  5. Step 5: Solve for x
    x = 20,229,584,151.11/213,065.16
  6. Step 6: Final answer
    x = 94,945.53

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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.