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Finding the Fourth Proportional to 204,302.16, 282,075.87 and 127,852.16

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Solution

The fourth proportional to 204,302.16, 282,075.87 and 127,852.16 is: 176,522.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,302.16 : 282,075.87 = 127,852.16 : x
  2. Step 2: Convert to fraction form
    204,302.16/282,075.87 = 127,852.16/x
  3. Step 3: Cross multiply
    204,302.16x = 282,075.87 × 127,852.16
  4. Step 4: Simplify right side
    204,302.16x = 36,064,009,263.38
  5. Step 5: Solve for x
    x = 36,064,009,263.38/204,302.16
  6. Step 6: Final answer
    x = 176,522.90

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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.