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Finding the Fourth Proportional to 364,041.84, 546,025.85 and 97,767.75

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Solution

The fourth proportional to 364,041.84, 546,025.85 and 97,767.75 is: 146,641.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,041.84 : 546,025.85 = 97,767.75 : x
  2. Step 2: Convert to fraction form
    364,041.84/546,025.85 = 97,767.75/x
  3. Step 3: Cross multiply
    364,041.84x = 546,025.85 × 97,767.75
  4. Step 4: Simplify right side
    364,041.84x = 53,383,718,307.50
  5. Step 5: Solve for x
    x = 53,383,718,307.50/364,041.84
  6. Step 6: Final answer
    x = 146,641.71

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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.