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Finding the Fourth Proportional to 102,305, 153,457.50 and 28,433

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Solution

The fourth proportional to 102,305, 153,457.50 and 28,433 is: 42,649.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,305 : 153,457.50 = 28,433 : x
  2. Step 2: Convert to fraction form
    102,305/153,457.50 = 28,433/x
  3. Step 3: Cross multiply
    102,305x = 153,457.50 × 28,433
  4. Step 4: Simplify right side
    102,305x = 4,363,257,097.50
  5. Step 5: Solve for x
    x = 4,363,257,097.50/102,305
  6. Step 6: Final answer
    x = 42,649.50

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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.