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Finding the Fourth Proportional to 259,009.53, 357,427.74 and 144,288.01

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Solution

The fourth proportional to 259,009.53, 357,427.74 and 144,288.01 is: 199,114.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,009.53 : 357,427.74 = 144,288.01 : x
  2. Step 2: Convert to fraction form
    259,009.53/357,427.74 = 144,288.01/x
  3. Step 3: Cross multiply
    259,009.53x = 357,427.74 × 144,288.01
  4. Step 4: Simplify right side
    259,009.53x = 51,572,537,323.40
  5. Step 5: Solve for x
    x = 51,572,537,323.40/259,009.53
  6. Step 6: Final answer
    x = 199,114.44

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1.5x scale

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.