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Finding the Fourth Proportional to 152,609.40, 228,935.70 and 47,417.40

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Solution

The fourth proportional to 152,609.40, 228,935.70 and 47,417.40 is: 71,132.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,609.40 : 228,935.70 = 47,417.40 : x
  2. Step 2: Convert to fraction form
    152,609.40/228,935.70 = 47,417.40/x
  3. Step 3: Cross multiply
    152,609.40x = 228,935.70 × 47,417.40
  4. Step 4: Simplify right side
    152,609.40x = 10,855,535,661.18
  5. Step 5: Solve for x
    x = 10,855,535,661.18/152,609.40
  6. Step 6: Final answer
    x = 71,132.81

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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.