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Finding the Fourth Proportional to 171,762.93, 257,681.76 and 53,443.80

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Solution

The fourth proportional to 171,762.93, 257,681.76 and 53,443.80 is: 80,177.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,762.93 : 257,681.76 = 53,443.80 : x
  2. Step 2: Convert to fraction form
    171,762.93/257,681.76 = 53,443.80/x
  3. Step 3: Cross multiply
    171,762.93x = 257,681.76 × 53,443.80
  4. Step 4: Simplify right side
    171,762.93x = 13,771,492,244.67
  5. Step 5: Solve for x
    x = 13,771,492,244.67/171,762.93
  6. Step 6: Final answer
    x = 80,177.32

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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.