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Finding the Fourth Proportional to 102,366.32, 153,434.46 and 46,122.08

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Solution

The fourth proportional to 102,366.32, 153,434.46 and 46,122.08 is: 69,131.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,366.32 : 153,434.46 = 46,122.08 : x
  2. Step 2: Convert to fraction form
    102,366.32/153,434.46 = 46,122.08/x
  3. Step 3: Cross multiply
    102,366.32x = 153,434.46 × 46,122.08
  4. Step 4: Simplify right side
    102,366.32x = 7,076,716,438.88
  5. Step 5: Solve for x
    x = 7,076,716,438.88/102,366.32
  6. Step 6: Final answer
    x = 69,131.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.