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Finding the Fourth Proportional to 154,715.84, 232,077 and 49,534.51

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Solution

The fourth proportional to 154,715.84, 232,077 and 49,534.51 is: 74,302.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,715.84 : 232,077 = 49,534.51 : x
  2. Step 2: Convert to fraction form
    154,715.84/232,077 = 49,534.51/x
  3. Step 3: Cross multiply
    154,715.84x = 232,077 × 49,534.51
  4. Step 4: Simplify right side
    154,715.84x = 11,495,820,477.27
  5. Step 5: Solve for x
    x = 11,495,820,477.27/154,715.84
  6. Step 6: Final answer
    x = 74,302.80

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