Finding the Fourth Proportional to 148,314,023.68, 204,666,221.28 and 82,237,207.36
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Solution
The fourth proportional to 148,314,023.68, 204,666,221.28 and 82,237,207.36 is: 113,483,391.94
Step by Step Solution
- Step 1: Write the proportion equation
148,314,023.68 : 204,666,221.28 = 82,237,207.36 : x - Step 2: Convert to fraction form
148,314,023.68/204,666,221.28 = 82,237,207.36/x - Step 3: Cross multiply
148,314,023.68x = 204,666,221.28 × 82,237,207.36 - Step 4: Simplify right side
148,314,023.68x = 16,831,178,478,991,004 - Step 5: Solve for x
x = 16,831,178,478,991,004/148,314,023.68 - Step 6: Final answer
x = 113,483,391.94
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.