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Finding the Fourth Proportional to 280,457.64, 387,016.20 and 153,130.32

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Solution

The fourth proportional to 280,457.64, 387,016.20 and 153,130.32 is: 211,311.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,457.64 : 387,016.20 = 153,130.32 : x
  2. Step 2: Convert to fraction form
    280,457.64/387,016.20 = 153,130.32/x
  3. Step 3: Cross multiply
    280,457.64x = 387,016.20 × 153,130.32
  4. Step 4: Simplify right side
    280,457.64x = 59,263,914,551.18
  5. Step 5: Solve for x
    x = 59,263,914,551.18/280,457.64
  6. Step 6: Final answer
    x = 211,311.46

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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.