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Finding the Fourth Proportional to 280,802.12, 387,501.21 and 153,478.62

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Solution

The fourth proportional to 280,802.12, 387,501.21 and 153,478.62 is: 211,797.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,802.12 : 387,501.21 = 153,478.62 : x
  2. Step 2: Convert to fraction form
    280,802.12/387,501.21 = 153,478.62/x
  3. Step 3: Cross multiply
    280,802.12x = 387,501.21 × 153,478.62
  4. Step 4: Simplify right side
    280,802.12x = 59,473,150,959.13
  5. Step 5: Solve for x
    x = 59,473,150,959.13/280,802.12
  6. Step 6: Final answer
    x = 211,797.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.