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Finding the Fourth Proportional to 180,457, 249,024.42 and 99,888.04

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Solution

The fourth proportional to 180,457, 249,024.42 and 99,888.04 is: 137,842.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,457 : 249,024.42 = 99,888.04 : x
  2. Step 2: Convert to fraction form
    180,457/249,024.42 = 99,888.04/x
  3. Step 3: Cross multiply
    180,457x = 249,024.42 × 99,888.04
  4. Step 4: Simplify right side
    180,457x = 24,874,561,225.94
  5. Step 5: Solve for x
    x = 24,874,561,225.94/180,457
  6. Step 6: Final answer
    x = 137,842.04

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Why These Related Problems?

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