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Finding the Fourth Proportional to 122,117.70, 183,090.15 and 47,208.90

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Solution

The fourth proportional to 122,117.70, 183,090.15 and 47,208.90 is: 70,779.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,117.70 : 183,090.15 = 47,208.90 : x
  2. Step 2: Convert to fraction form
    122,117.70/183,090.15 = 47,208.90/x
  3. Step 3: Cross multiply
    122,117.70x = 183,090.15 × 47,208.90
  4. Step 4: Simplify right side
    122,117.70x = 8,643,484,582.34
  5. Step 5: Solve for x
    x = 8,643,484,582.34/122,117.70
  6. Step 6: Final answer
    x = 70,779.95

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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.