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Finding the Fourth Proportional to 261,041.77, 360,208.76 and 144,752.32

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Solution

The fourth proportional to 261,041.77, 360,208.76 and 144,752.32 is: 199,742.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,041.77 : 360,208.76 = 144,752.32 : x
  2. Step 2: Convert to fraction form
    261,041.77/360,208.76 = 144,752.32/x
  3. Step 3: Cross multiply
    261,041.77x = 360,208.76 × 144,752.32
  4. Step 4: Simplify right side
    261,041.77x = 52,141,051,394.65
  5. Step 5: Solve for x
    x = 52,141,051,394.65/261,041.77
  6. Step 6: Final answer
    x = 199,742.18

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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.