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Finding the Fourth Proportional to 255,722.40, 383,756.40 and 143,402.40

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Solution

The fourth proportional to 255,722.40, 383,756.40 and 143,402.40 is: 215,200.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,722.40 : 383,756.40 = 143,402.40 : x
  2. Step 2: Convert to fraction form
    255,722.40/383,756.40 = 143,402.40/x
  3. Step 3: Cross multiply
    255,722.40x = 383,756.40 × 143,402.40
  4. Step 4: Simplify right side
    255,722.40x = 55,031,588,775.36
  5. Step 5: Solve for x
    x = 55,031,588,775.36/255,722.40
  6. Step 6: Final answer
    x = 215,200.50

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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.