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Finding the Fourth Proportional to 152,421.60, 228,639.60 and 47,314.20

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Solution

The fourth proportional to 152,421.60, 228,639.60 and 47,314.20 is: 70,973.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,421.60 : 228,639.60 = 47,314.20 : x
  2. Step 2: Convert to fraction form
    152,421.60/228,639.60 = 47,314.20/x
  3. Step 3: Cross multiply
    152,421.60x = 228,639.60 × 47,314.20
  4. Step 4: Simplify right side
    152,421.60x = 10,817,899,762.32
  5. Step 5: Solve for x
    x = 10,817,899,762.32/152,421.60
  6. Step 6: Final answer
    x = 70,973.53

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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.