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Finding the Fourth Proportional to 535,103.15, 802,737.64 and 180,089.46

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Solution

The fourth proportional to 535,103.15, 802,737.64 and 180,089.46 is: 270,162.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,103.15 : 802,737.64 = 180,089.46 : x
  2. Step 2: Convert to fraction form
    535,103.15/802,737.64 = 180,089.46/x
  3. Step 3: Cross multiply
    535,103.15x = 802,737.64 × 180,089.46
  4. Step 4: Simplify right side
    535,103.15x = 144,564,588,334.39
  5. Step 5: Solve for x
    x = 144,564,588,334.39/535,103.15
  6. Step 6: Final answer
    x = 270,162.10

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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.