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Finding the Fourth Proportional to 200,352, 276,485.76 and 110,933.76

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Solution

The fourth proportional to 200,352, 276,485.76 and 110,933.76 is: 153,088.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,352 : 276,485.76 = 110,933.76 : x
  2. Step 2: Convert to fraction form
    200,352/276,485.76 = 110,933.76/x
  3. Step 3: Cross multiply
    200,352x = 276,485.76 × 110,933.76
  4. Step 4: Simplify right side
    200,352x = 30,671,604,943.26
  5. Step 5: Solve for x
    x = 30,671,604,943.26/200,352
  6. Step 6: Final answer
    x = 153,088.59

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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.