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Finding the Fourth Proportional to 228,590.16, 342,901.66 and 78,828.29

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Solution

The fourth proportional to 228,590.16, 342,901.66 and 78,828.29 is: 118,248.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,590.16 : 342,901.66 = 78,828.29 : x
  2. Step 2: Convert to fraction form
    228,590.16/342,901.66 = 78,828.29/x
  3. Step 3: Cross multiply
    228,590.16x = 342,901.66 × 78,828.29
  4. Step 4: Simplify right side
    228,590.16x = 27,030,351,495.96
  5. Step 5: Solve for x
    x = 27,030,351,495.96/228,590.16
  6. Step 6: Final answer
    x = 118,248.10

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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.