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Finding the Fourth Proportional to 101,658.18, 140,284.46 and 56,335

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Solution

The fourth proportional to 101,658.18, 140,284.46 and 56,335 is: 77,740.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,658.18 : 140,284.46 = 56,335 : x
  2. Step 2: Convert to fraction form
    101,658.18/140,284.46 = 56,335/x
  3. Step 3: Cross multiply
    101,658.18x = 140,284.46 × 56,335
  4. Step 4: Simplify right side
    101,658.18x = 7,902,925,054.10
  5. Step 5: Solve for x
    x = 7,902,925,054.10/101,658.18
  6. Step 6: Final answer
    x = 77,740.18

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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.