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Finding the Fourth Proportional to 129,457, 178,654.98 and 79,146.28

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Solution

The fourth proportional to 129,457, 178,654.98 and 79,146.28 is: 109,224.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,457 : 178,654.98 = 79,146.28 : x
  2. Step 2: Convert to fraction form
    129,457/178,654.98 = 79,146.28/x
  3. Step 3: Cross multiply
    129,457x = 178,654.98 × 79,146.28
  4. Step 4: Simplify right side
    129,457x = 14,139,877,070.47
  5. Step 5: Solve for x
    x = 14,139,877,070.47/129,457
  6. Step 6: Final answer
    x = 109,224.51

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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.