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Finding the Fourth Proportional to 152,317.46, 210,200.72 and 83,412.99

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Solution

The fourth proportional to 152,317.46, 210,200.72 and 83,412.99 is: 115,111.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,317.46 : 210,200.72 = 83,412.99 : x
  2. Step 2: Convert to fraction form
    152,317.46/210,200.72 = 83,412.99/x
  3. Step 3: Cross multiply
    152,317.46x = 210,200.72 × 83,412.99
  4. Step 4: Simplify right side
    152,317.46x = 17,533,470,607.49
  5. Step 5: Solve for x
    x = 17,533,470,607.49/152,317.46
  6. Step 6: Final answer
    x = 115,111.36

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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.