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Finding the Fourth Proportional to 255,726.16, 352,904.86 and 141,005.02

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Solution

The fourth proportional to 255,726.16, 352,904.86 and 141,005.02 is: 194,588.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,726.16 : 352,904.86 = 141,005.02 : x
  2. Step 2: Convert to fraction form
    255,726.16/352,904.86 = 141,005.02/x
  3. Step 3: Cross multiply
    255,726.16x = 352,904.86 × 141,005.02
  4. Step 4: Simplify right side
    255,726.16x = 49,761,356,842.40
  5. Step 5: Solve for x
    x = 49,761,356,842.40/255,726.16
  6. Step 6: Final answer
    x = 194,588.45

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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.