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Finding the Fourth Proportional to 193,148.70, 289,703.61 and 52,927.98

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Solution

The fourth proportional to 193,148.70, 289,703.61 and 52,927.98 is: 79,386.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,148.70 : 289,703.61 = 52,927.98 : x
  2. Step 2: Convert to fraction form
    193,148.70/289,703.61 = 52,927.98/x
  3. Step 3: Cross multiply
    193,148.70x = 289,703.61 × 52,927.98
  4. Step 4: Simplify right side
    193,148.70x = 15,333,426,876.01
  5. Step 5: Solve for x
    x = 15,333,426,876.01/193,148.70
  6. Step 6: Final answer
    x = 79,386.64

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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.