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Finding the Fourth Proportional to 284,097.78, 392,041.62 and 163,153.80

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Solution

The fourth proportional to 284,097.78, 392,041.62 and 163,153.80 is: 225,144.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,097.78 : 392,041.62 = 163,153.80 : x
  2. Step 2: Convert to fraction form
    284,097.78/392,041.62 = 163,153.80/x
  3. Step 3: Cross multiply
    284,097.78x = 392,041.62 × 163,153.80
  4. Step 4: Simplify right side
    284,097.78x = 63,963,080,061.16
  5. Step 5: Solve for x
    x = 63,963,080,061.16/284,097.78
  6. Step 6: Final answer
    x = 225,144.60

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1.5x scale

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.