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Finding the Fourth Proportional to 262,826.54, 362,705.16 and 155,415.08

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Solution

The fourth proportional to 262,826.54, 362,705.16 and 155,415.08 is: 214,475.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,826.54 : 362,705.16 = 155,415.08 : x
  2. Step 2: Convert to fraction form
    262,826.54/362,705.16 = 155,415.08/x
  3. Step 3: Cross multiply
    262,826.54x = 362,705.16 × 155,415.08
  4. Step 4: Simplify right side
    262,826.54x = 56,369,851,457.81
  5. Step 5: Solve for x
    x = 56,369,851,457.81/262,826.54
  6. Step 6: Final answer
    x = 214,475.49

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Why These Related Problems?

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