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Finding the Fourth Proportional to 178,547.66, 246,387.30 and 97,973.42

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Solution

The fourth proportional to 178,547.66, 246,387.30 and 97,973.42 is: 135,198.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,547.66 : 246,387.30 = 97,973.42 : x
  2. Step 2: Convert to fraction form
    178,547.66/246,387.30 = 97,973.42/x
  3. Step 3: Cross multiply
    178,547.66x = 246,387.30 × 97,973.42
  4. Step 4: Simplify right side
    178,547.66x = 24,139,405,193.63
  5. Step 5: Solve for x
    x = 24,139,405,193.63/178,547.66
  6. Step 6: Final answer
    x = 135,198.67

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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.