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Finding the Fourth Proportional to 107,357.95, 161,070.94 and 83,746.45

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Solution

The fourth proportional to 107,357.95, 161,070.94 and 83,746.45 is: 125,646.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,357.95 : 161,070.94 = 83,746.45 : x
  2. Step 2: Convert to fraction form
    107,357.95/161,070.94 = 83,746.45/x
  3. Step 3: Cross multiply
    107,357.95x = 161,070.94 × 83,746.45
  4. Step 4: Simplify right side
    107,357.95x = 13,489,118,617.81
  5. Step 5: Solve for x
    x = 13,489,118,617.81/107,357.95
  6. Step 6: Final answer
    x = 125,646.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.