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Finding the Fourth Proportional to 152,341.40, 210,228.54 and 84,356.91

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Solution

The fourth proportional to 152,341.40, 210,228.54 and 84,356.91 is: 116,411.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,341.40 : 210,228.54 = 84,356.91 : x
  2. Step 2: Convert to fraction form
    152,341.40/210,228.54 = 84,356.91/x
  3. Step 3: Cross multiply
    152,341.40x = 210,228.54 × 84,356.91
  4. Step 4: Simplify right side
    152,341.40x = 17,734,230,816.57
  5. Step 5: Solve for x
    x = 17,734,230,816.57/152,341.40
  6. Step 6: Final answer
    x = 116,411.11

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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.