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Finding the Fourth Proportional to 171,444.60, 257,166.90 and 146,075.40

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Solution

The fourth proportional to 171,444.60, 257,166.90 and 146,075.40 is: 219,113.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,444.60 : 257,166.90 = 146,075.40 : x
  2. Step 2: Convert to fraction form
    171,444.60/257,166.90 = 146,075.40/x
  3. Step 3: Cross multiply
    171,444.60x = 257,166.90 × 146,075.40
  4. Step 4: Simplify right side
    171,444.60x = 37,565,757,784.26
  5. Step 5: Solve for x
    x = 37,565,757,784.26/171,444.60
  6. Step 6: Final answer
    x = 219,113.10

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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.