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Finding the Fourth Proportional to 152,124.98, 228,217.90 and 46,940

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Solution

The fourth proportional to 152,124.98, 228,217.90 and 46,940 is: 70,419.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,124.98 : 228,217.90 = 46,940 : x
  2. Step 2: Convert to fraction form
    152,124.98/228,217.90 = 46,940/x
  3. Step 3: Cross multiply
    152,124.98x = 228,217.90 × 46,940
  4. Step 4: Simplify right side
    152,124.98x = 10,712,548,226
  5. Step 5: Solve for x
    x = 10,712,548,226/152,124.98
  6. Step 6: Final answer
    x = 70,419.39

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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.