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Finding the Fourth Proportional to 152,222, 228,268.68 and 45,621.08

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Solution

The fourth proportional to 152,222, 228,268.68 and 45,621.08 is: 68,412.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,222 : 228,268.68 = 45,621.08 : x
  2. Step 2: Convert to fraction form
    152,222/228,268.68 = 45,621.08/x
  3. Step 3: Cross multiply
    152,222x = 228,268.68 × 45,621.08
  4. Step 4: Simplify right side
    152,222x = 10,413,863,711.77
  5. Step 5: Solve for x
    x = 10,413,863,711.77/152,222
  6. Step 6: Final answer
    x = 68,412.34

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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.