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Finding the Fourth Proportional to 145,056.38, 200,192.19 and 97,408.94

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Solution

The fourth proportional to 145,056.38, 200,192.19 and 97,408.94 is: 134,434.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,056.38 : 200,192.19 = 97,408.94 : x
  2. Step 2: Convert to fraction form
    145,056.38/200,192.19 = 97,408.94/x
  3. Step 3: Cross multiply
    145,056.38x = 200,192.19 × 97,408.94
  4. Step 4: Simplify right side
    145,056.38x = 19,500,509,024.18
  5. Step 5: Solve for x
    x = 19,500,509,024.18/145,056.38
  6. Step 6: Final answer
    x = 134,434.00

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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.