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Finding the Fourth Proportional to 177,688.40, 266,578.72 and 53,029.40

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Solution

The fourth proportional to 177,688.40, 266,578.72 and 53,029.40 is: 79,557.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,688.40 : 266,578.72 = 53,029.40 : x
  2. Step 2: Convert to fraction form
    177,688.40/266,578.72 = 53,029.40/x
  3. Step 3: Cross multiply
    177,688.40x = 266,578.72 × 53,029.40
  4. Step 4: Simplify right side
    177,688.40x = 14,136,509,574.37
  5. Step 5: Solve for x
    x = 14,136,509,574.37/177,688.40
  6. Step 6: Final answer
    x = 79,557.86

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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.