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Finding the Fourth Proportional to 301,710.90, 452,857.95 and 152,120.10

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Solution

The fourth proportional to 301,710.90, 452,857.95 and 152,120.10 is: 228,327.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,710.90 : 452,857.95 = 152,120.10 : x
  2. Step 2: Convert to fraction form
    301,710.90/452,857.95 = 152,120.10/x
  3. Step 3: Cross multiply
    301,710.90x = 452,857.95 × 152,120.10
  4. Step 4: Simplify right side
    301,710.90x = 68,888,796,639.80
  5. Step 5: Solve for x
    x = 68,888,796,639.80/301,710.90
  6. Step 6: Final answer
    x = 228,327.17

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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.