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Finding the Fourth Proportional to 202,054.96, 278,822.95 and 111,411.51

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Solution

The fourth proportional to 202,054.96, 278,822.95 and 111,411.51 is: 153,740.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,054.96 : 278,822.95 = 111,411.51 : x
  2. Step 2: Convert to fraction form
    202,054.96/278,822.95 = 111,411.51/x
  3. Step 3: Cross multiply
    202,054.96x = 278,822.95 × 111,411.51
  4. Step 4: Simplify right side
    202,054.96x = 31,064,085,882.15
  5. Step 5: Solve for x
    x = 31,064,085,882.15/202,054.96
  6. Step 6: Final answer
    x = 153,740.77

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1.5x scale

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.