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Finding the Fourth Proportional to 101,358, 139,878.36 and 56,646

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Solution

The fourth proportional to 101,358, 139,878.36 and 56,646 is: 78,173.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,358 : 139,878.36 = 56,646 : x
  2. Step 2: Convert to fraction form
    101,358/139,878.36 = 56,646/x
  3. Step 3: Cross multiply
    101,358x = 139,878.36 × 56,646
  4. Step 4: Simplify right side
    101,358x = 7,923,549,580.56
  5. Step 5: Solve for x
    x = 7,923,549,580.56/101,358
  6. Step 6: Final answer
    x = 78,173.89

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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.