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Finding the Fourth Proportional to 198,970.51, 298,268.14 and 99,036.22

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Solution

The fourth proportional to 198,970.51, 298,268.14 and 99,036.22 is: 148,460.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,970.51 : 298,268.14 = 99,036.22 : x
  2. Step 2: Convert to fraction form
    198,970.51/298,268.14 = 99,036.22/x
  3. Step 3: Cross multiply
    198,970.51x = 298,268.14 × 99,036.22
  4. Step 4: Simplify right side
    198,970.51x = 29,539,349,132.03
  5. Step 5: Solve for x
    x = 29,539,349,132.03/198,970.51
  6. Step 6: Final answer
    x = 148,460.94

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1.5x scale

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.