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Finding the Fourth Proportional to 133,341.84, 200,012.70 and 53,416.08

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Solution

The fourth proportional to 133,341.84, 200,012.70 and 53,416.08 is: 80,124.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,341.84 : 200,012.70 = 53,416.08 : x
  2. Step 2: Convert to fraction form
    133,341.84/200,012.70 = 53,416.08/x
  3. Step 3: Cross multiply
    133,341.84x = 200,012.70 × 53,416.08
  4. Step 4: Simplify right side
    133,341.84x = 10,683,894,384.22
  5. Step 5: Solve for x
    x = 10,683,894,384.22/133,341.84
  6. Step 6: Final answer
    x = 80,124.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.