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Finding the Fourth Proportional to 98,858.36, 136,435.98 and 56,423

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Solution

The fourth proportional to 98,858.36, 136,435.98 and 56,423 is: 77,870.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,858.36 : 136,435.98 = 56,423 : x
  2. Step 2: Convert to fraction form
    98,858.36/136,435.98 = 56,423/x
  3. Step 3: Cross multiply
    98,858.36x = 136,435.98 × 56,423
  4. Step 4: Simplify right side
    98,858.36x = 7,698,127,299.54
  5. Step 5: Solve for x
    x = 7,698,127,299.54/98,858.36
  6. Step 6: Final answer
    x = 77,870.27

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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.