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Finding the Fourth Proportional to 152,740, 229,114.32 and 41,932

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Solution

The fourth proportional to 152,740, 229,114.32 and 41,932 is: 62,899.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,740 : 229,114.32 = 41,932 : x
  2. Step 2: Convert to fraction form
    152,740/229,114.32 = 41,932/x
  3. Step 3: Cross multiply
    152,740x = 229,114.32 × 41,932
  4. Step 4: Simplify right side
    152,740x = 9,607,221,666.24
  5. Step 5: Solve for x
    x = 9,607,221,666.24/152,740
  6. Step 6: Final answer
    x = 62,899.19

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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.