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Finding the Fourth Proportional to 142,051.60, 212,931.60 and 82,856.80

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Solution

The fourth proportional to 142,051.60, 212,931.60 and 82,856.80 is: 124,200.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,051.60 : 212,931.60 = 82,856.80 : x
  2. Step 2: Convert to fraction form
    142,051.60/212,931.60 = 82,856.80/x
  3. Step 3: Cross multiply
    142,051.60x = 212,931.60 × 82,856.80
  4. Step 4: Simplify right side
    142,051.60x = 17,642,830,994.88
  5. Step 5: Solve for x
    x = 17,642,830,994.88/142,051.60
  6. Step 6: Final answer
    x = 124,200.16

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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.