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Finding the Fourth Proportional to 190,745.30, 286,117.95 and 146,594.90

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Solution

The fourth proportional to 190,745.30, 286,117.95 and 146,594.90 is: 219,892.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,745.30 : 286,117.95 = 146,594.90 : x
  2. Step 2: Convert to fraction form
    190,745.30/286,117.95 = 146,594.90/x
  3. Step 3: Cross multiply
    190,745.30x = 286,117.95 × 146,594.90
  4. Step 4: Simplify right side
    190,745.30x = 41,943,432,268.46
  5. Step 5: Solve for x
    x = 41,943,432,268.46/190,745.30
  6. Step 6: Final answer
    x = 219,892.35

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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.