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Finding the Fourth Proportional to 171,410.16, 257,155.20 and 53,075.16

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Solution

The fourth proportional to 171,410.16, 257,155.20 and 53,075.16 is: 79,625.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,410.16 : 257,155.20 = 53,075.16 : x
  2. Step 2: Convert to fraction form
    171,410.16/257,155.20 = 53,075.16/x
  3. Step 3: Cross multiply
    171,410.16x = 257,155.20 × 53,075.16
  4. Step 4: Simplify right side
    171,410.16x = 13,648,553,384.83
  5. Step 5: Solve for x
    x = 13,648,553,384.83/171,410.16
  6. Step 6: Final answer
    x = 79,625.11

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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.