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Finding the Fourth Proportional to 142,050.70, 212,928.45 and 57,774.70

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Solution

The fourth proportional to 142,050.70, 212,928.45 and 57,774.70 is: 86,602.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,050.70 : 212,928.45 = 57,774.70 : x
  2. Step 2: Convert to fraction form
    142,050.70/212,928.45 = 57,774.70/x
  3. Step 3: Cross multiply
    142,050.70x = 212,928.45 × 57,774.70
  4. Step 4: Simplify right side
    142,050.70x = 12,301,877,320.22
  5. Step 5: Solve for x
    x = 12,301,877,320.22/142,050.70
  6. Step 6: Final answer
    x = 86,602.02

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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.