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Finding the Fourth Proportional to 154,050.30, 212,475.68 and 97,407

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Solution

The fourth proportional to 154,050.30, 212,475.68 and 97,407 is: 134,349.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,050.30 : 212,475.68 = 97,407 : x
  2. Step 2: Convert to fraction form
    154,050.30/212,475.68 = 97,407/x
  3. Step 3: Cross multiply
    154,050.30x = 212,475.68 × 97,407
  4. Step 4: Simplify right side
    154,050.30x = 20,696,618,561.76
  5. Step 5: Solve for x
    x = 20,696,618,561.76/154,050.30
  6. Step 6: Final answer
    x = 134,349.75

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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.