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Finding the Fourth Proportional to 291,878.16, 402,792.16 and 157,742.16

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Solution

The fourth proportional to 291,878.16, 402,792.16 and 157,742.16 is: 217,684.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,878.16 : 402,792.16 = 157,742.16 : x
  2. Step 2: Convert to fraction form
    291,878.16/402,792.16 = 157,742.16/x
  3. Step 3: Cross multiply
    291,878.16x = 402,792.16 × 157,742.16
  4. Step 4: Simplify right side
    291,878.16x = 63,537,305,349.47
  5. Step 5: Solve for x
    x = 63,537,305,349.47/291,878.16
  6. Step 6: Final answer
    x = 217,684.34

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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.