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Finding the Fourth Proportional to 214,423.17, 295,904.16 and 118,929.86

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Solution

The fourth proportional to 214,423.17, 295,904.16 and 118,929.86 is: 164,123.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,423.17 : 295,904.16 = 118,929.86 : x
  2. Step 2: Convert to fraction form
    214,423.17/295,904.16 = 118,929.86/x
  3. Step 3: Cross multiply
    214,423.17x = 295,904.16 × 118,929.86
  4. Step 4: Simplify right side
    214,423.17x = 35,191,840,322.22
  5. Step 5: Solve for x
    x = 35,191,840,322.22/214,423.17
  6. Step 6: Final answer
    x = 164,123.31

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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.