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Finding the Fourth Proportional to 309,225.84, 463,904.98 and 95,989.08

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Solution

The fourth proportional to 309,225.84, 463,904.98 and 95,989.08 is: 144,004.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,225.84 : 463,904.98 = 95,989.08 : x
  2. Step 2: Convert to fraction form
    309,225.84/463,904.98 = 95,989.08/x
  3. Step 3: Cross multiply
    309,225.84x = 463,904.98 × 95,989.08
  4. Step 4: Simplify right side
    309,225.84x = 44,529,812,237.62
  5. Step 5: Solve for x
    x = 44,529,812,237.62/309,225.84
  6. Step 6: Final answer
    x = 144,004.18

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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.