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Finding the Fourth Proportional to 165,416.84, 228,158.34 and 114,445.16

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Solution

The fourth proportional to 165,416.84, 228,158.34 and 114,445.16 is: 157,853.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,416.84 : 228,158.34 = 114,445.16 : x
  2. Step 2: Convert to fraction form
    165,416.84/228,158.34 = 114,445.16/x
  3. Step 3: Cross multiply
    165,416.84x = 228,158.34 × 114,445.16
  4. Step 4: Simplify right side
    165,416.84x = 26,111,617,726.63
  5. Step 5: Solve for x
    x = 26,111,617,726.63/165,416.84
  6. Step 6: Final answer
    x = 157,853.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.