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Finding the Fourth Proportional to 284,541.90, 392,675.74 and 157,225.74

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Solution

The fourth proportional to 284,541.90, 392,675.74 and 157,225.74 is: 216,975.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,541.90 : 392,675.74 = 157,225.74 : x
  2. Step 2: Convert to fraction form
    284,541.90/392,675.74 = 157,225.74/x
  3. Step 3: Cross multiply
    284,541.90x = 392,675.74 × 157,225.74
  4. Step 4: Simplify right side
    284,541.90x = 61,738,733,801.55
  5. Step 5: Solve for x
    x = 61,738,733,801.55/284,541.90
  6. Step 6: Final answer
    x = 216,975.90

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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.