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Finding the Fourth Proportional to 305,015.88, 457,088.04 and 134,032.98

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Solution

The fourth proportional to 305,015.88, 457,088.04 and 134,032.98 is: 200,857.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,015.88 : 457,088.04 = 134,032.98 : x
  2. Step 2: Convert to fraction form
    305,015.88/457,088.04 = 134,032.98/x
  3. Step 3: Cross multiply
    305,015.88x = 457,088.04 × 134,032.98
  4. Step 4: Simplify right side
    305,015.88x = 61,264,872,123.56
  5. Step 5: Solve for x
    x = 61,264,872,123.56/305,015.88
  6. Step 6: Final answer
    x = 200,857.98

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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.