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Finding the Fourth Proportional to 115,438.30, 172,829.40 and 102,316.30

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Solution

The fourth proportional to 115,438.30, 172,829.40 and 102,316.30 is: 153,183.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,438.30 : 172,829.40 = 102,316.30 : x
  2. Step 2: Convert to fraction form
    115,438.30/172,829.40 = 102,316.30/x
  3. Step 3: Cross multiply
    115,438.30x = 172,829.40 × 102,316.30
  4. Step 4: Simplify right side
    115,438.30x = 17,683,264,739.22
  5. Step 5: Solve for x
    x = 17,683,264,739.22/115,438.30
  6. Step 6: Final answer
    x = 153,183.69

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