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Finding the Fourth Proportional to 284,510.81, 392,629.05 and 157,189.34

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Solution

The fourth proportional to 284,510.81, 392,629.05 and 157,189.34 is: 216,923.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,510.81 : 392,629.05 = 157,189.34 : x
  2. Step 2: Convert to fraction form
    284,510.81/392,629.05 = 157,189.34/x
  3. Step 3: Cross multiply
    284,510.81x = 392,629.05 × 157,189.34
  4. Step 4: Simplify right side
    284,510.81x = 61,717,099,271.18
  5. Step 5: Solve for x
    x = 61,717,099,271.18/284,510.81
  6. Step 6: Final answer
    x = 216,923.57

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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.