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Finding the Fourth Proportional to 213,113.16, 319,641.30 and 63,350.64

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Solution

The fourth proportional to 213,113.16, 319,641.30 and 63,350.64 is: 95,017.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,113.16 : 319,641.30 = 63,350.64 : x
  2. Step 2: Convert to fraction form
    213,113.16/319,641.30 = 63,350.64/x
  3. Step 3: Cross multiply
    213,113.16x = 319,641.30 × 63,350.64
  4. Step 4: Simplify right side
    213,113.16x = 20,249,480,925.43
  5. Step 5: Solve for x
    x = 20,249,480,925.43/213,113.16
  6. Step 6: Final answer
    x = 95,017.51

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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.