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Finding the Fourth Proportional to 362,102.40, 542,935.44 and 162,386.64

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Solution

The fourth proportional to 362,102.40, 542,935.44 and 162,386.64 is: 243,482.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,102.40 : 542,935.44 = 162,386.64 : x
  2. Step 2: Convert to fraction form
    362,102.40/542,935.44 = 162,386.64/x
  3. Step 3: Cross multiply
    362,102.40x = 542,935.44 × 162,386.64
  4. Step 4: Simplify right side
    362,102.40x = 88,165,461,838.52
  5. Step 5: Solve for x
    x = 88,165,461,838.52/362,102.40
  6. Step 6: Final answer
    x = 243,482.13

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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.