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Finding the Fourth Proportional to 233,477.05, 349,772.59 and 138,506.58

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Solution

The fourth proportional to 233,477.05, 349,772.59 and 138,506.58 is: 207,497.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,477.05 : 349,772.59 = 138,506.58 : x
  2. Step 2: Convert to fraction form
    233,477.05/349,772.59 = 138,506.58/x
  3. Step 3: Cross multiply
    233,477.05x = 349,772.59 × 138,506.58
  4. Step 4: Simplify right side
    233,477.05x = 48,445,805,218.64
  5. Step 5: Solve for x
    x = 48,445,805,218.64/233,477.05
  6. Step 6: Final answer
    x = 207,497.08

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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.