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Finding the Fourth Proportional to 123,203.16, 184,804.24 and 48,270.40

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Solution

The fourth proportional to 123,203.16, 184,804.24 and 48,270.40 is: 72,405.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,203.16 : 184,804.24 = 48,270.40 : x
  2. Step 2: Convert to fraction form
    123,203.16/184,804.24 = 48,270.40/x
  3. Step 3: Cross multiply
    123,203.16x = 184,804.24 × 48,270.40
  4. Step 4: Simplify right side
    123,203.16x = 8,920,574,586.50
  5. Step 5: Solve for x
    x = 8,920,574,586.50/123,203.16
  6. Step 6: Final answer
    x = 72,405.40

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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.