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Finding the Fourth Proportional to 183,703.08, 275,656.68 and 99,462

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Solution

The fourth proportional to 183,703.08, 275,656.68 and 99,462 is: 149,248.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,703.08 : 275,656.68 = 99,462 : x
  2. Step 2: Convert to fraction form
    183,703.08/275,656.68 = 99,462/x
  3. Step 3: Cross multiply
    183,703.08x = 275,656.68 × 99,462
  4. Step 4: Simplify right side
    183,703.08x = 27,417,364,706.16
  5. Step 5: Solve for x
    x = 27,417,364,706.16/183,703.08
  6. Step 6: Final answer
    x = 149,248.26

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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.