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Finding the Fourth Proportional to 281,457.94, 388,409.04 and 152,394.18

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Solution

The fourth proportional to 281,457.94, 388,409.04 and 152,394.18 is: 210,302.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,457.94 : 388,409.04 = 152,394.18 : x
  2. Step 2: Convert to fraction form
    281,457.94/388,409.04 = 152,394.18/x
  3. Step 3: Cross multiply
    281,457.94x = 388,409.04 × 152,394.18
  4. Step 4: Simplify right side
    281,457.94x = 59,191,277,155.39
  5. Step 5: Solve for x
    x = 59,191,277,155.39/281,457.94
  6. Step 6: Final answer
    x = 210,302.39

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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.