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Finding the Fourth Proportional to 535,133.68, 802,818.84 and 180,136

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Solution

The fourth proportional to 535,133.68, 802,818.84 and 180,136 is: 270,243.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,133.68 : 802,818.84 = 180,136 : x
  2. Step 2: Convert to fraction form
    535,133.68/802,818.84 = 180,136/x
  3. Step 3: Cross multiply
    535,133.68x = 802,818.84 × 180,136
  4. Step 4: Simplify right side
    535,133.68x = 144,616,574,562.24
  5. Step 5: Solve for x
    x = 144,616,574,562.24/535,133.68
  6. Step 6: Final answer
    x = 270,243.83

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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.