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Finding the Fourth Proportional to 284,152.57, 392,129.74 and 156,827.25

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Solution

The fourth proportional to 284,152.57, 392,129.74 and 156,827.25 is: 216,421.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,152.57 : 392,129.74 = 156,827.25 : x
  2. Step 2: Convert to fraction form
    284,152.57/392,129.74 = 156,827.25/x
  3. Step 3: Cross multiply
    284,152.57x = 392,129.74 × 156,827.25
  4. Step 4: Simplify right side
    284,152.57x = 61,496,628,963.45
  5. Step 5: Solve for x
    x = 61,496,628,963.45/284,152.57
  6. Step 6: Final answer
    x = 216,421.16

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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.