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Finding the Fourth Proportional to 228,047.40, 342,071.10 and 109,730.70

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Solution

The fourth proportional to 228,047.40, 342,071.10 and 109,730.70 is: 164,596.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,047.40 : 342,071.10 = 109,730.70 : x
  2. Step 2: Convert to fraction form
    228,047.40/342,071.10 = 109,730.70/x
  3. Step 3: Cross multiply
    228,047.40x = 342,071.10 × 109,730.70
  4. Step 4: Simplify right side
    228,047.40x = 37,535,701,252.77
  5. Step 5: Solve for x
    x = 37,535,701,252.77/228,047.40
  6. Step 6: Final answer
    x = 164,596.05

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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.