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Finding the Fourth Proportional to 230,673.16, 318,340.02 and 130,069

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Solution

The fourth proportional to 230,673.16, 318,340.02 and 130,069 is: 179,501.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,673.16 : 318,340.02 = 130,069 : x
  2. Step 2: Convert to fraction form
    230,673.16/318,340.02 = 130,069/x
  3. Step 3: Cross multiply
    230,673.16x = 318,340.02 × 130,069
  4. Step 4: Simplify right side
    230,673.16x = 41,406,168,061.38
  5. Step 5: Solve for x
    x = 41,406,168,061.38/230,673.16
  6. Step 6: Final answer
    x = 179,501.46

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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.