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Finding the Fourth Proportional to 119,368.48, 164,733.20 and 65,658.50

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Solution

The fourth proportional to 119,368.48, 164,733.20 and 65,658.50 is: 90,611.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,368.48 : 164,733.20 = 65,658.50 : x
  2. Step 2: Convert to fraction form
    119,368.48/164,733.20 = 65,658.50/x
  3. Step 3: Cross multiply
    119,368.48x = 164,733.20 × 65,658.50
  4. Step 4: Simplify right side
    119,368.48x = 10,816,133,988.53
  5. Step 5: Solve for x
    x = 10,816,133,988.53/119,368.48
  6. Step 6: Final answer
    x = 90,611.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.