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Finding the Fourth Proportional to 166,364, 249,547.92 and 48,036.64

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Solution

The fourth proportional to 166,364, 249,547.92 and 48,036.64 is: 72,055.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,364 : 249,547.92 = 48,036.64 : x
  2. Step 2: Convert to fraction form
    166,364/249,547.92 = 48,036.64/x
  3. Step 3: Cross multiply
    166,364x = 249,547.92 × 48,036.64
  4. Step 4: Simplify right side
    166,364x = 11,987,443,595.79
  5. Step 5: Solve for x
    x = 11,987,443,595.79/166,364
  6. Step 6: Final answer
    x = 72,055.51

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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.