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Finding the Fourth Proportional to 152,462.40, 228,702.24 and 47,296.32

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Solution

The fourth proportional to 152,462.40, 228,702.24 and 47,296.32 is: 70,947.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,462.40 : 228,702.24 = 47,296.32 : x
  2. Step 2: Convert to fraction form
    152,462.40/228,702.24 = 47,296.32/x
  3. Step 3: Cross multiply
    152,462.40x = 228,702.24 × 47,296.32
  4. Step 4: Simplify right side
    152,462.40x = 10,816,774,327.76
  5. Step 5: Solve for x
    x = 10,816,774,327.76/152,462.40
  6. Step 6: Final answer
    x = 70,947.16

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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.