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Finding the Fourth Proportional to 274,547.76, 378,883.82 and 153,688.33

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Solution

The fourth proportional to 274,547.76, 378,883.82 and 153,688.33 is: 212,094.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,547.76 : 378,883.82 = 153,688.33 : x
  2. Step 2: Convert to fraction form
    274,547.76/378,883.82 = 153,688.33/x
  3. Step 3: Cross multiply
    274,547.76x = 378,883.82 × 153,688.33
  4. Step 4: Simplify right side
    274,547.76x = 58,230,021,559.82
  5. Step 5: Solve for x
    x = 58,230,021,559.82/274,547.76
  6. Step 6: Final answer
    x = 212,094.32

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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.