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Finding the Fourth Proportional to 102,509.37, 153,444.06 and 75,522.24

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Solution

The fourth proportional to 102,509.37, 153,444.06 and 75,522.24 is: 113,047.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,509.37 : 153,444.06 = 75,522.24 : x
  2. Step 2: Convert to fraction form
    102,509.37/153,444.06 = 75,522.24/x
  3. Step 3: Cross multiply
    102,509.37x = 153,444.06 × 75,522.24
  4. Step 4: Simplify right side
    102,509.37x = 11,588,439,125.89
  5. Step 5: Solve for x
    x = 11,588,439,125.89/102,509.37
  6. Step 6: Final answer
    x = 113,047.61

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1.5x scale

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.