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Finding the Fourth Proportional to 535,102.77, 802,737.18 and 180,089.10

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Solution

The fourth proportional to 535,102.77, 802,737.18 and 180,089.10 is: 270,161.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,102.77 : 802,737.18 = 180,089.10 : x
  2. Step 2: Convert to fraction form
    535,102.77/802,737.18 = 180,089.10/x
  3. Step 3: Cross multiply
    535,102.77x = 802,737.18 × 180,089.10
  4. Step 4: Simplify right side
    535,102.77x = 144,564,216,282.74
  5. Step 5: Solve for x
    x = 144,564,216,282.74/535,102.77
  6. Step 6: Final answer
    x = 270,161.59

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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.