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Finding the Fourth Proportional to 97,569.22, 134,128.63 and 83,907.22

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Solution

The fourth proportional to 97,569.22, 134,128.63 and 83,907.22 is: 115,347.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,569.22 : 134,128.63 = 83,907.22 : x
  2. Step 2: Convert to fraction form
    97,569.22/134,128.63 = 83,907.22/x
  3. Step 3: Cross multiply
    97,569.22x = 134,128.63 × 83,907.22
  4. Step 4: Simplify right side
    97,569.22x = 11,254,360,046.17
  5. Step 5: Solve for x
    x = 11,254,360,046.17/97,569.22
  6. Step 6: Final answer
    x = 115,347.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.