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Finding the Fourth Proportional to 228,498.17, 342,817.32 and 102,244.70

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Solution

The fourth proportional to 228,498.17, 342,817.32 and 102,244.70 is: 153,398.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,498.17 : 342,817.32 = 102,244.70 : x
  2. Step 2: Convert to fraction form
    228,498.17/342,817.32 = 102,244.70/x
  3. Step 3: Cross multiply
    228,498.17x = 342,817.32 × 102,244.70
  4. Step 4: Simplify right side
    228,498.17x = 35,051,254,038.20
  5. Step 5: Solve for x
    x = 35,051,254,038.20/228,498.17
  6. Step 6: Final answer
    x = 153,398.40

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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.