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Finding the Fourth Proportional to 133,031.60, 199,547.40 and 61,954.10

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Solution

The fourth proportional to 133,031.60, 199,547.40 and 61,954.10 is: 92,931.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,031.60 : 199,547.40 = 61,954.10 : x
  2. Step 2: Convert to fraction form
    133,031.60/199,547.40 = 61,954.10/x
  3. Step 3: Cross multiply
    133,031.60x = 199,547.40 × 61,954.10
  4. Step 4: Simplify right side
    133,031.60x = 12,362,779,574.34
  5. Step 5: Solve for x
    x = 12,362,779,574.34/133,031.60
  6. Step 6: Final answer
    x = 92,931.15

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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.