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Finding the Fourth Proportional to 152,031.94, 228,048.01 and 41,223.94

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Solution

The fourth proportional to 152,031.94, 228,048.01 and 41,223.94 is: 61,835.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,031.94 : 228,048.01 = 41,223.94 : x
  2. Step 2: Convert to fraction form
    152,031.94/228,048.01 = 41,223.94/x
  3. Step 3: Cross multiply
    152,031.94x = 228,048.01 × 41,223.94
  4. Step 4: Simplify right side
    152,031.94x = 9,401,036,808.18
  5. Step 5: Solve for x
    x = 9,401,036,808.18/152,031.94
  6. Step 6: Final answer
    x = 61,835.93

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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.