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Finding the Fourth Proportional to 228,522.42, 342,865.80 and 102,152.16

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Solution

The fourth proportional to 228,522.42, 342,865.80 and 102,152.16 is: 153,264.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,522.42 : 342,865.80 = 102,152.16 : x
  2. Step 2: Convert to fraction form
    228,522.42/342,865.80 = 102,152.16/x
  3. Step 3: Cross multiply
    228,522.42x = 342,865.80 × 102,152.16
  4. Step 4: Simplify right side
    228,522.42x = 35,024,482,060.13
  5. Step 5: Solve for x
    x = 35,024,482,060.13/228,522.42
  6. Step 6: Final answer
    x = 153,264.97

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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.