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Finding the Fourth Proportional to 280,685.74, 387,341.76 and 153,358.60

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Solution

The fourth proportional to 280,685.74, 387,341.76 and 153,358.60 is: 211,632.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,685.74 : 387,341.76 = 153,358.60 : x
  2. Step 2: Convert to fraction form
    280,685.74/387,341.76 = 153,358.60/x
  3. Step 3: Cross multiply
    280,685.74x = 387,341.76 × 153,358.60
  4. Step 4: Simplify right side
    280,685.74x = 59,402,190,035.14
  5. Step 5: Solve for x
    x = 59,402,190,035.14/280,685.74
  6. Step 6: Final answer
    x = 211,632.38

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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.