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Finding the Fourth Proportional to 114,802.16, 172,203.56 and 34,840.78

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Solution

The fourth proportional to 114,802.16, 172,203.56 and 34,840.78 is: 52,261.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,802.16 : 172,203.56 = 34,840.78 : x
  2. Step 2: Convert to fraction form
    114,802.16/172,203.56 = 34,840.78/x
  3. Step 3: Cross multiply
    114,802.16x = 172,203.56 × 34,840.78
  4. Step 4: Simplify right side
    114,802.16x = 5,999,706,349.18
  5. Step 5: Solve for x
    x = 5,999,706,349.18/114,802.16
  6. Step 6: Final answer
    x = 52,261.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.