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Finding the Fourth Proportional to 284,210.49, 392,211.18 and 155,149.05

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Solution

The fourth proportional to 284,210.49, 392,211.18 and 155,149.05 is: 214,106.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,210.49 : 392,211.18 = 155,149.05 : x
  2. Step 2: Convert to fraction form
    284,210.49/392,211.18 = 155,149.05/x
  3. Step 3: Cross multiply
    284,210.49x = 392,211.18 × 155,149.05
  4. Step 4: Simplify right side
    284,210.49x = 60,851,191,267.46
  5. Step 5: Solve for x
    x = 60,851,191,267.46/284,210.49
  6. Step 6: Final answer
    x = 214,106.07

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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.