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Finding the Fourth Proportional to 152,031.40, 228,047.10 and 41,223.40

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Solution

The fourth proportional to 152,031.40, 228,047.10 and 41,223.40 is: 61,835.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,031.40 : 228,047.10 = 41,223.40 : x
  2. Step 2: Convert to fraction form
    152,031.40/228,047.10 = 41,223.40/x
  3. Step 3: Cross multiply
    152,031.40x = 228,047.10 × 41,223.40
  4. Step 4: Simplify right side
    152,031.40x = 9,400,876,822.14
  5. Step 5: Solve for x
    x = 9,400,876,822.14/152,031.40
  6. Step 6: Final answer
    x = 61,835.10

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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.