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Finding the Fourth Proportional to 204,475, 282,152.80 and 113,810.08

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Solution

The fourth proportional to 204,475, 282,152.80 and 113,810.08 is: 157,045.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,475 : 282,152.80 = 113,810.08 : x
  2. Step 2: Convert to fraction form
    204,475/282,152.80 = 113,810.08/x
  3. Step 3: Cross multiply
    204,475x = 282,152.80 × 113,810.08
  4. Step 4: Simplify right side
    204,475x = 32,111,832,740.22
  5. Step 5: Solve for x
    x = 32,111,832,740.22/204,475
  6. Step 6: Final answer
    x = 157,045.28

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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.