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Finding the Fourth Proportional to 144,094.16, 216,152.16 and 38,911.60

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Solution

The fourth proportional to 144,094.16, 216,152.16 and 38,911.60 is: 58,370.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,094.16 : 216,152.16 = 38,911.60 : x
  2. Step 2: Convert to fraction form
    144,094.16/216,152.16 = 38,911.60/x
  3. Step 3: Cross multiply
    144,094.16x = 216,152.16 × 38,911.60
  4. Step 4: Simplify right side
    144,094.16x = 8,410,826,389.06
  5. Step 5: Solve for x
    x = 8,410,826,389.06/144,094.16
  6. Step 6: Final answer
    x = 58,370.35

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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.