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Finding the Fourth Proportional to 257,798.94, 386,683.02 and 153,283.02

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Solution

The fourth proportional to 257,798.94, 386,683.02 and 153,283.02 is: 229,915.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,798.94 : 386,683.02 = 153,283.02 : x
  2. Step 2: Convert to fraction form
    257,798.94/386,683.02 = 153,283.02/x
  3. Step 3: Cross multiply
    257,798.94x = 386,683.02 × 153,283.02
  4. Step 4: Simplify right side
    257,798.94x = 59,271,941,088.32
  5. Step 5: Solve for x
    x = 59,271,941,088.32/257,798.94
  6. Step 6: Final answer
    x = 229,915.38

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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.