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Finding the Fourth Proportional to 228,096.69, 342,123.12 and 70,282.77

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Solution

The fourth proportional to 228,096.69, 342,123.12 and 70,282.77 is: 105,417.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,096.69 : 342,123.12 = 70,282.77 : x
  2. Step 2: Convert to fraction form
    228,096.69/342,123.12 = 70,282.77/x
  3. Step 3: Cross multiply
    228,096.69x = 342,123.12 × 70,282.77
  4. Step 4: Simplify right side
    228,096.69x = 24,045,360,554.64
  5. Step 5: Solve for x
    x = 24,045,360,554.64/228,096.69
  6. Step 6: Final answer
    x = 105,417.40

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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.