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Finding the Fourth Proportional to 230,746.81, 346,156.81 and 97,628.06

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Solution

The fourth proportional to 230,746.81, 346,156.81 and 97,628.06 is: 146,457.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,746.81 : 346,156.81 = 97,628.06 : x
  2. Step 2: Convert to fraction form
    230,746.81/346,156.81 = 97,628.06/x
  3. Step 3: Cross multiply
    230,746.81x = 346,156.81 × 97,628.06
  4. Step 4: Simplify right side
    230,746.81x = 33,794,618,437.41
  5. Step 5: Solve for x
    x = 33,794,618,437.41/230,746.81
  6. Step 6: Final answer
    x = 146,457.58

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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.