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Finding the Fourth Proportional to 154,537.40, 231,695.40 and 59,686.40

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Solution

The fourth proportional to 154,537.40, 231,695.40 and 59,686.40 is: 89,486.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,537.40 : 231,695.40 = 59,686.40 : x
  2. Step 2: Convert to fraction form
    154,537.40/231,695.40 = 59,686.40/x
  3. Step 3: Cross multiply
    154,537.40x = 231,695.40 × 59,686.40
  4. Step 4: Simplify right side
    154,537.40x = 13,829,064,322.56
  5. Step 5: Solve for x
    x = 13,829,064,322.56/154,537.40
  6. Step 6: Final answer
    x = 89,486.84

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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.