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Finding the Fourth Proportional to 355,172.50, 532,851.10 and 105,854.50

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Solution

The fourth proportional to 355,172.50, 532,851.10 and 105,854.50 is: 158,809.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,172.50 : 532,851.10 = 105,854.50 : x
  2. Step 2: Convert to fraction form
    355,172.50/532,851.10 = 105,854.50/x
  3. Step 3: Cross multiply
    355,172.50x = 532,851.10 × 105,854.50
  4. Step 4: Simplify right side
    355,172.50x = 56,404,686,764.95
  5. Step 5: Solve for x
    x = 56,404,686,764.95/355,172.50
  6. Step 6: Final answer
    x = 158,809.27

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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.