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Finding the Fourth Proportional to 233,036, 349,554.14 and 99,830.08

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Solution

The fourth proportional to 233,036, 349,554.14 and 99,830.08 is: 149,745.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,036 : 349,554.14 = 99,830.08 : x
  2. Step 2: Convert to fraction form
    233,036/349,554.14 = 99,830.08/x
  3. Step 3: Cross multiply
    233,036x = 349,554.14 × 99,830.08
  4. Step 4: Simplify right side
    233,036x = 34,896,017,760.53
  5. Step 5: Solve for x
    x = 34,896,017,760.53/233,036
  6. Step 6: Final answer
    x = 149,745.18

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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.