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Finding the Fourth Proportional to 242,292, 334,327.08 and 145,475.40

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Solution

The fourth proportional to 242,292, 334,327.08 and 145,475.40 is: 200,734.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,292 : 334,327.08 = 145,475.40 : x
  2. Step 2: Convert to fraction form
    242,292/334,327.08 = 145,475.40/x
  3. Step 3: Cross multiply
    242,292x = 334,327.08 × 145,475.40
  4. Step 4: Simplify right side
    242,292x = 48,636,365,693.83
  5. Step 5: Solve for x
    x = 48,636,365,693.83/242,292
  6. Step 6: Final answer
    x = 200,734.51

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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.