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Finding the Fourth Proportional to 102,053, 153,088.32 and 28,181

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Solution

The fourth proportional to 102,053, 153,088.32 and 28,181 is: 42,273.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,053 : 153,088.32 = 28,181 : x
  2. Step 2: Convert to fraction form
    102,053/153,088.32 = 28,181/x
  3. Step 3: Cross multiply
    102,053x = 153,088.32 × 28,181
  4. Step 4: Simplify right side
    102,053x = 4,314,181,945.92
  5. Step 5: Solve for x
    x = 4,314,181,945.92/102,053
  6. Step 6: Final answer
    x = 42,273.94

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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.