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Finding the Fourth Proportional to 218,758.50, 301,886.93 and 118,156.50

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Solution

The fourth proportional to 218,758.50, 301,886.93 and 118,156.50 is: 163,056.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,758.50 : 301,886.93 = 118,156.50 : x
  2. Step 2: Convert to fraction form
    218,758.50/301,886.93 = 118,156.50/x
  3. Step 3: Cross multiply
    218,758.50x = 301,886.93 × 118,156.50
  4. Step 4: Simplify right side
    218,758.50x = 35,669,903,339.94
  5. Step 5: Solve for x
    x = 35,669,903,339.94/218,758.50
  6. Step 6: Final answer
    x = 163,056.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.