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Finding the Fourth Proportional to 150,160.65, 225,368.55 and 61,477.80

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Solution

The fourth proportional to 150,160.65, 225,368.55 and 61,477.80 is: 92,268.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,160.65 : 225,368.55 = 61,477.80 : x
  2. Step 2: Convert to fraction form
    150,160.65/225,368.55 = 61,477.80/x
  3. Step 3: Cross multiply
    150,160.65x = 225,368.55 × 61,477.80
  4. Step 4: Simplify right side
    150,160.65x = 13,855,162,643.19
  5. Step 5: Solve for x
    x = 13,855,162,643.19/150,160.65
  6. Step 6: Final answer
    x = 92,268.93

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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.