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Finding the Fourth Proportional to 152,475.80, 210,416.70 and 83,564.96

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Solution

The fourth proportional to 152,475.80, 210,416.70 and 83,564.96 is: 115,319.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,475.80 : 210,416.70 = 83,564.96 : x
  2. Step 2: Convert to fraction form
    152,475.80/210,416.70 = 83,564.96/x
  3. Step 3: Cross multiply
    152,475.80x = 210,416.70 × 83,564.96
  4. Step 4: Simplify right side
    152,475.80x = 17,583,463,118.83
  5. Step 5: Solve for x
    x = 17,583,463,118.83/152,475.80
  6. Step 6: Final answer
    x = 115,319.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.