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Finding the Fourth Proportional to 157,185.44, 235,807.32 and 52,005.32

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Solution

The fourth proportional to 157,185.44, 235,807.32 and 52,005.32 is: 78,017.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,185.44 : 235,807.32 = 52,005.32 : x
  2. Step 2: Convert to fraction form
    157,185.44/235,807.32 = 52,005.32/x
  3. Step 3: Cross multiply
    157,185.44x = 235,807.32 × 52,005.32
  4. Step 4: Simplify right side
    157,185.44x = 12,263,235,134.94
  5. Step 5: Solve for x
    x = 12,263,235,134.94/157,185.44
  6. Step 6: Final answer
    x = 78,017.63

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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.