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Finding the Fourth Proportional to 152,448, 210,379.32 and 85,380

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Solution

The fourth proportional to 152,448, 210,379.32 and 85,380 is: 117,825.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,448 : 210,379.32 = 85,380 : x
  2. Step 2: Convert to fraction form
    152,448/210,379.32 = 85,380/x
  3. Step 3: Cross multiply
    152,448x = 210,379.32 × 85,380
  4. Step 4: Simplify right side
    152,448x = 17,962,186,341.60
  5. Step 5: Solve for x
    x = 17,962,186,341.60/152,448
  6. Step 6: Final answer
    x = 117,825.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.