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Finding the Fourth Proportional to 305,032.02, 457,548.01 and 83,416.02

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Solution

The fourth proportional to 305,032.02, 457,548.01 and 83,416.02 is: 125,124.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,032.02 : 457,548.01 = 83,416.02 : x
  2. Step 2: Convert to fraction form
    305,032.02/457,548.01 = 83,416.02/x
  3. Step 3: Cross multiply
    305,032.02x = 457,548.01 × 83,416.02
  4. Step 4: Simplify right side
    305,032.02x = 38,166,833,953.12
  5. Step 5: Solve for x
    x = 38,166,833,953.12/305,032.02
  6. Step 6: Final answer
    x = 125,124.02

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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.