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Finding the Fourth Proportional to 209,983.53, 315,038.88 and 75,029.93

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Solution

The fourth proportional to 209,983.53, 315,038.88 and 75,029.93 is: 112,567.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,983.53 : 315,038.88 = 75,029.93 : x
  2. Step 2: Convert to fraction form
    209,983.53/315,038.88 = 75,029.93/x
  3. Step 3: Cross multiply
    209,983.53x = 315,038.88 × 75,029.93
  4. Step 4: Simplify right side
    209,983.53x = 23,637,343,538.48
  5. Step 5: Solve for x
    x = 23,637,343,538.48/209,983.53
  6. Step 6: Final answer
    x = 112,567.61

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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.