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Finding the Fourth Proportional to 190,492.38, 285,739.29 and 48,337.83

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Solution

The fourth proportional to 190,492.38, 285,739.29 and 48,337.83 is: 72,506.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,492.38 : 285,739.29 = 48,337.83 : x
  2. Step 2: Convert to fraction form
    190,492.38/285,739.29 = 48,337.83/x
  3. Step 3: Cross multiply
    190,492.38x = 285,739.29 × 48,337.83
  4. Step 4: Simplify right side
    190,492.38x = 13,812,017,224.34
  5. Step 5: Solve for x
    x = 13,812,017,224.34/190,492.38
  6. Step 6: Final answer
    x = 72,506.93

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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.