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Finding the Fourth Proportional to 833,234, 1,249,851.56 and 202,147.92

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Solution

The fourth proportional to 833,234, 1,249,851.56 and 202,147.92 is: 303,222.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,234 : 1,249,851.56 = 202,147.92 : x
  2. Step 2: Convert to fraction form
    833,234/1,249,851.56 = 202,147.92/x
  3. Step 3: Cross multiply
    833,234x = 1,249,851.56 × 202,147.92
  4. Step 4: Simplify right side
    833,234x = 252,654,893,162.76
  5. Step 5: Solve for x
    x = 252,654,893,162.76/833,234
  6. Step 6: Final answer
    x = 303,222.02

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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.