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Finding the Fourth Proportional to 270,223.29, 372,931.16 and 157,038.75

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Solution

The fourth proportional to 270,223.29, 372,931.16 and 157,038.75 is: 216,726.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,223.29 : 372,931.16 = 157,038.75 : x
  2. Step 2: Convert to fraction form
    270,223.29/372,931.16 = 157,038.75/x
  3. Step 3: Cross multiply
    270,223.29x = 372,931.16 × 157,038.75
  4. Step 4: Simplify right side
    270,223.29x = 58,564,642,417.26
  5. Step 5: Solve for x
    x = 58,564,642,417.26/270,223.29
  6. Step 6: Final answer
    x = 216,726.85

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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.