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Finding the Fourth Proportional to 230,653.68, 345,876.63 and 97,465.38

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Solution

The fourth proportional to 230,653.68, 345,876.63 and 97,465.38 is: 146,154.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,653.68 : 345,876.63 = 97,465.38 : x
  2. Step 2: Convert to fraction form
    230,653.68/345,876.63 = 97,465.38/x
  3. Step 3: Cross multiply
    230,653.68x = 345,876.63 × 97,465.38
  4. Step 4: Simplify right side
    230,653.68x = 33,710,997,176.07
  5. Step 5: Solve for x
    x = 33,710,997,176.07/230,653.68
  6. Step 6: Final answer
    x = 146,154.17

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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.