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Finding the Fourth Proportional to 284,152.32, 392,128.27 and 156,827.91

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Solution

The fourth proportional to 284,152.32, 392,128.27 and 156,827.91 is: 216,421.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,152.32 : 392,128.27 = 156,827.91 : x
  2. Step 2: Convert to fraction form
    284,152.32/392,128.27 = 156,827.91/x
  3. Step 3: Cross multiply
    284,152.32x = 392,128.27 × 156,827.91
  4. Step 4: Simplify right side
    284,152.32x = 61,496,657,036.02
  5. Step 5: Solve for x
    x = 61,496,657,036.02/284,152.32
  6. Step 6: Final answer
    x = 216,421.45

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