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Finding the Fourth Proportional to 235,210.74, 324,602.10 and 144,570.54

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Solution

The fourth proportional to 235,210.74, 324,602.10 and 144,570.54 is: 199,514.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,210.74 : 324,602.10 = 144,570.54 : x
  2. Step 2: Convert to fraction form
    235,210.74/324,602.10 = 144,570.54/x
  3. Step 3: Cross multiply
    235,210.74x = 324,602.10 × 144,570.54
  4. Step 4: Simplify right side
    235,210.74x = 46,927,900,882.13
  5. Step 5: Solve for x
    x = 46,927,900,882.13/235,210.74
  6. Step 6: Final answer
    x = 199,514.28

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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.