Home / 205,055.12-282,968.16-114,406.40

Finding the Fourth Proportional to 205,055.12, 282,968.16 and 114,406.40

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Solution

The fourth proportional to 205,055.12, 282,968.16 and 114,406.40 is: 157,876.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,055.12 : 282,968.16 = 114,406.40 : x
  2. Step 2: Convert to fraction form
    205,055.12/282,968.16 = 114,406.40/x
  3. Step 3: Cross multiply
    205,055.12x = 282,968.16 × 114,406.40
  4. Step 4: Simplify right side
    205,055.12x = 32,373,368,500.22
  5. Step 5: Solve for x
    x = 32,373,368,500.22/205,055.12
  6. Step 6: Final answer
    x = 157,876.42

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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.