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Finding the Fourth Proportional to 313,080.90, 469,880.55 and 144,860.10

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Solution

The fourth proportional to 313,080.90, 469,880.55 and 144,860.10 is: 217,410.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,080.90 : 469,880.55 = 144,860.10 : x
  2. Step 2: Convert to fraction form
    313,080.90/469,880.55 = 144,860.10/x
  3. Step 3: Cross multiply
    313,080.90x = 469,880.55 × 144,860.10
  4. Step 4: Simplify right side
    313,080.90x = 68,066,943,461.06
  5. Step 5: Solve for x
    x = 68,066,943,461.06/313,080.90
  6. Step 6: Final answer
    x = 217,410.08

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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.