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Finding the Fourth Proportional to 207,970.32, 286,999.23 and 112,477.01

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Solution

The fourth proportional to 207,970.32, 286,999.23 and 112,477.01 is: 155,218.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,970.32 : 286,999.23 = 112,477.01 : x
  2. Step 2: Convert to fraction form
    207,970.32/286,999.23 = 112,477.01/x
  3. Step 3: Cross multiply
    207,970.32x = 286,999.23 × 112,477.01
  4. Step 4: Simplify right side
    207,970.32x = 32,280,815,262.70
  5. Step 5: Solve for x
    x = 32,280,815,262.70/207,970.32
  6. Step 6: Final answer
    x = 155,218.38

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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.