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Finding the Fourth Proportional to 190,565.32, 285,848.34 and 57,483.67

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Solution

The fourth proportional to 190,565.32, 285,848.34 and 57,483.67 is: 86,225.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,565.32 : 285,848.34 = 57,483.67 : x
  2. Step 2: Convert to fraction form
    190,565.32/285,848.34 = 57,483.67/x
  3. Step 3: Cross multiply
    190,565.32x = 285,848.34 × 57,483.67
  4. Step 4: Simplify right side
    190,565.32x = 16,431,611,646.61
  5. Step 5: Solve for x
    x = 16,431,611,646.61/190,565.32
  6. Step 6: Final answer
    x = 86,225.61

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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.