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Finding the Fourth Proportional to 291,803.12, 402,688.32 and 157,667.12

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Solution

The fourth proportional to 291,803.12, 402,688.32 and 157,667.12 is: 217,580.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,803.12 : 402,688.32 = 157,667.12 : x
  2. Step 2: Convert to fraction form
    291,803.12/402,688.32 = 157,667.12/x
  3. Step 3: Cross multiply
    291,803.12x = 402,688.32 × 157,667.12
  4. Step 4: Simplify right side
    291,803.12x = 63,490,707,672.04
  5. Step 5: Solve for x
    x = 63,490,707,672.04/291,803.12
  6. Step 6: Final answer
    x = 217,580.63

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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.