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Finding the Fourth Proportional to 202,055.65, 278,831.43 and 111,410.07

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Solution

The fourth proportional to 202,055.65, 278,831.43 and 111,410.07 is: 153,742.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,055.65 : 278,831.43 = 111,410.07 : x
  2. Step 2: Convert to fraction form
    202,055.65/278,831.43 = 111,410.07/x
  3. Step 3: Cross multiply
    202,055.65x = 278,831.43 × 111,410.07
  4. Step 4: Simplify right side
    202,055.65x = 31,064,628,088.88
  5. Step 5: Solve for x
    x = 31,064,628,088.88/202,055.65
  6. Step 6: Final answer
    x = 153,742.93

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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.