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Finding the Fourth Proportional to 152,202.24, 228,303.36 and 52,364.88

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Solution

The fourth proportional to 152,202.24, 228,303.36 and 52,364.88 is: 78,547.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,202.24 : 228,303.36 = 52,364.88 : x
  2. Step 2: Convert to fraction form
    152,202.24/228,303.36 = 52,364.88/x
  3. Step 3: Cross multiply
    152,202.24x = 228,303.36 × 52,364.88
  4. Step 4: Simplify right side
    152,202.24x = 11,955,078,050.00
  5. Step 5: Solve for x
    x = 11,955,078,050.00/152,202.24
  6. Step 6: Final answer
    x = 78,547.32

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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.