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Finding the Fourth Proportional to 301,651.02, 452,477.90 and 101,972.48

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Solution

The fourth proportional to 301,651.02, 452,477.90 and 101,972.48 is: 152,959.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,651.02 : 452,477.90 = 101,972.48 : x
  2. Step 2: Convert to fraction form
    301,651.02/452,477.90 = 101,972.48/x
  3. Step 3: Cross multiply
    301,651.02x = 452,477.90 × 101,972.48
  4. Step 4: Simplify right side
    301,651.02x = 46,140,291,600.73
  5. Step 5: Solve for x
    x = 46,140,291,600.73/301,651.02
  6. Step 6: Final answer
    x = 152,959.18

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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.