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Finding the Fourth Proportional to 152,283.08, 210,147.57 and 84,300

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Solution

The fourth proportional to 152,283.08, 210,147.57 and 84,300 is: 116,332.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,283.08 : 210,147.57 = 84,300 : x
  2. Step 2: Convert to fraction form
    152,283.08/210,147.57 = 84,300/x
  3. Step 3: Cross multiply
    152,283.08x = 210,147.57 × 84,300
  4. Step 4: Simplify right side
    152,283.08x = 17,715,440,151
  5. Step 5: Solve for x
    x = 17,715,440,151/152,283.08
  6. Step 6: Final answer
    x = 116,332.30

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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.