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Finding the Fourth Proportional to 153,490.94, 230,225.16 and 48,339.98

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Solution

The fourth proportional to 153,490.94, 230,225.16 and 48,339.98 is: 72,506.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,490.94 : 230,225.16 = 48,339.98 : x
  2. Step 2: Convert to fraction form
    153,490.94/230,225.16 = 48,339.98/x
  3. Step 3: Cross multiply
    153,490.94x = 230,225.16 × 48,339.98
  4. Step 4: Simplify right side
    153,490.94x = 11,129,079,629.90
  5. Step 5: Solve for x
    x = 11,129,079,629.90/153,490.94
  6. Step 6: Final answer
    x = 72,506.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.