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Finding the Fourth Proportional to 174,030, 261,045.08 and 75,534

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Solution

The fourth proportional to 174,030, 261,045.08 and 75,534 is: 113,301.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,030 : 261,045.08 = 75,534 : x
  2. Step 2: Convert to fraction form
    174,030/261,045.08 = 75,534/x
  3. Step 3: Cross multiply
    174,030x = 261,045.08 × 75,534
  4. Step 4: Simplify right side
    174,030x = 19,717,779,072.72
  5. Step 5: Solve for x
    x = 19,717,779,072.72/174,030
  6. Step 6: Final answer
    x = 113,301.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.