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Finding the Fourth Proportional to 145,802.46, 218,664.42 and 61,563.18

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Solution

The fourth proportional to 145,802.46, 218,664.42 and 61,563.18 is: 92,328.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,802.46 : 218,664.42 = 61,563.18 : x
  2. Step 2: Convert to fraction form
    145,802.46/218,664.42 = 61,563.18/x
  3. Step 3: Cross multiply
    145,802.46x = 218,664.42 × 61,563.18
  4. Step 4: Simplify right side
    145,802.46x = 13,461,677,048.06
  5. Step 5: Solve for x
    x = 13,461,677,048.06/145,802.46
  6. Step 6: Final answer
    x = 92,328.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.