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Finding the Fourth Proportional to 233,000, 349,411.20 and 83,212.32

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Solution

The fourth proportional to 233,000, 349,411.20 and 83,212.32 is: 124,786.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,000 : 349,411.20 = 83,212.32 : x
  2. Step 2: Convert to fraction form
    233,000/349,411.20 = 83,212.32/x
  3. Step 3: Cross multiply
    233,000x = 349,411.20 × 83,212.32
  4. Step 4: Simplify right side
    233,000x = 29,075,316,585.98
  5. Step 5: Solve for x
    x = 29,075,316,585.98/233,000
  6. Step 6: Final answer
    x = 124,786.77

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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.