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Finding the Fourth Proportional to 560,192.64, 840,133.44 and 155,288.16

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Solution

The fourth proportional to 560,192.64, 840,133.44 and 155,288.16 is: 232,889.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,192.64 : 840,133.44 = 155,288.16 : x
  2. Step 2: Convert to fraction form
    560,192.64/840,133.44 = 155,288.16/x
  3. Step 3: Cross multiply
    560,192.64x = 840,133.44 × 155,288.16
  4. Step 4: Simplify right side
    560,192.64x = 130,462,776,052.07
  5. Step 5: Solve for x
    x = 130,462,776,052.07/560,192.64
  6. Step 6: Final answer
    x = 232,889.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.