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Finding the Fourth Proportional to 178,019.16, 245,665.02 and 97,445.04

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Solution

The fourth proportional to 178,019.16, 245,665.02 and 97,445.04 is: 134,473.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,019.16 : 245,665.02 = 97,445.04 : x
  2. Step 2: Convert to fraction form
    178,019.16/245,665.02 = 97,445.04/x
  3. Step 3: Cross multiply
    178,019.16x = 245,665.02 × 97,445.04
  4. Step 4: Simplify right side
    178,019.16x = 23,938,837,700.50
  5. Step 5: Solve for x
    x = 23,938,837,700.50/178,019.16
  6. Step 6: Final answer
    x = 134,473.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.